Arithmetic

LCM & GCF Calculator

List any collection of integers to instantly see their greatest common factor (GCF) and least common multiple (LCM).

lcmgcfdivisibility
LCM & GCF Calculator

Feed any list of integers to get the greatest common factor and least common multiple.

Total numbers
3
Greatest Common Factor
6
Least Common Multiple
360

Fundamental relationships

LCM(a, b) = |ab| ÷ GCD(a, b)

The calculator cleans the input list, computes the greatest common divisor across all numbers, then leverages the gcd-derived formula to produce the LCM.

How to use

  1. Type integers separated by commas, spaces, or new lines.
  2. The tool removes zeros, computes the GCF, and derives the LCM.
  3. Review the count of numbers processed to verify your input.

Example

Input: Numbers = 24, 60, 90

Output: Greatest common factor = 6, Least common multiple = 360

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for LCM & GCF Calculator: lcm and gcf calculator, lcm calculator, gcf calculator, greatest common factor calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.

Deep dive & study plan

The LCM & GCF Calculator is a go-to tool whenever you need to simultaneously get least common multiple and greatest common factor.. It focuses on lcm, gcf, divisibility, which means searchers often arrive with intent-heavy queries like “how to lcm & gcf calculator quickly” or “lcm & gcf calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.

Under the hood, the calculator leans on the calculator cleans the input list, computes the greatest common divisor across all numbers, then leverages the gcd-derived formula to produce the lcm.—that’s why we surface the full expression (“LCM(a, b) = |ab| ÷ GCD(a, b)”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.

Execution matters as much as the math. Follow the built-in procedure: Step 1: Type integers separated by commas, spaces, or new lines. Step 2: The tool removes zeros, computes the GCF, and derives the LCM. Step 3: Review the count of numbers processed to verify your input.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.

The Example section itself is packed with semantic clues: “Numbers = 24, 60, 90” leading to “Greatest common factor = 6, Least common multiple = 360.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Link out to at least two related calculators to keep readers exploring your topical hub.

FAQ & notes

Can I include negative numbers?

Yes. The calculator uses the absolute value of each integer so signs do not impact GCF or LCM results.

What happens if I enter zero?

Zero is ignored because it would make both GCF and LCM undefined. Remove zeros or replace them with a meaningful value.

What formula does the LCM & GCF Calculator use?

The calculator cleans the input list, computes the greatest common divisor across all numbers, then leverages the gcd-derived formula to produce the LCM.

How do I use the LCM & GCF Calculator?

Type integers separated by commas, spaces, or new lines. The tool removes zeros, computes the GCF, and derives the LCM. Review the count of numbers processed to verify your input.