LCM for 228 and 380

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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 = 86,640 ÷ 76

LCM = 1,140

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, 1,140, 1,368, 1,596

Multiples of 380: 380, 760, 1,140, 1,520, 1,900

So the LCM for 228 and 380 is 1,140

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 = 1,140

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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: 1,140). 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
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LCM Table

Number 1Number 2LCM
22836583,220
22836613,908
22836783,676
22836820,976
22836928,044
22837042,180
22837184,588
2283727,068
22837385,044
22837442,636
22837528,500
22837621,432
22837785,956
22837814,364
22837986,412
2283801,140
22838128,956
22838243,548
22838387,324
2283847,296
22838587,780
22838644,004
22838729,412
22838822,116
22838988,692
22839014,820
22839189,148
22839222,344
22839329,868
22839444,916

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.

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