LCM for 228 and 380

What's the Least Common Multiple (LCM) of 228 and 380?

Answer: LCM of 228 and 380 is 1,140

(One thousand, one hundred forty)

Finding LCM for 228 and 380 using GCF's of these numbers

The first method to find LCM for numbers 228 and 380 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 228 and 380 is 76, so

LCM = (228 × 380) ÷ 76

LCM = 86640 ÷ 76

LCM = 1140

Finding LCM for 228 and 380 by Listing Multiples

The second method to find LCM for numbers 228 and 380 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596

Multiples of 380: 380, 760, 1140, 1520, 1900

So the LCM for 228 and 380 is 1140

Finding LCM for 228 and 380 by Prime Factorization

Another method to find LCM for numbers 228 and 380 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)

All Prime Factors of 380: 2, 2, 5, 19 (exponent form: 22, 51, 191)

22 × 31 × 191 × 51 = 1140

Related Calculations

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 228 and 380? (The answer is: 1140). Select the first number (e.g. '228') and the second number (e.g. '380'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
21338080940
21438040660
21538016340
21638020520
21738082460
21838041420
21938083220
2203804180
22138083980
22238042180
22338084740
22438021280
22538017100
22638042940
22738086260
228380
22938087020
2303808740
23138087780
23238022040
23338088540
23438044460
23538017860
23638022420
23738090060
23838045220
23938090820
2403804560
24138091580
24238045980

FAQ

What's the Least Common Multiple (LCM) of 228 and 380?

LCM of 228 and 380 is 1,140