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LCM for 228 and 380

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 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 numbers and pick the first one that matches:

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

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What is the LCM of 228 and 380?. The LCM of 228 and 380 is 1140 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
22836583220
22836613908
22836783676
22836820976
22836928044
22837042180
22837184588
2283727068
22837385044
22837442636
22837528500
22837621432
22837785956
22837814364
22837986412
2283801140
22838128956
22838243548
22838387324
2283847296
22838587780
22838644004
22838729412
22838822116
22838988692
22839014820
22839189148
22839222344
22839329868
22839444916

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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

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

LCM of 228 and 380 is 1,140

How to find the LCM of 228 and 380 using prime factorization?

To find the LCM of 228 and 380, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 228 and 380: LCM = 1,140, GCF = 76.

See Also