Least Common Multiple of 228, 698, 764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 228, 698, 764 i.e. 15198252 smallest integer divisible by all numbers.

Least common multiple (LCM) of 228, 698, 764 is 15198252.

LCM(228, 698, 764) = 15198252

LCM of 228, 698, 764

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 228,698,764

Least Common Multiple (LCM) of 228,698,764 is 15198252

2 228, 698, 764
2 114, 349, 382
57, 349, 191

∴ So the LCM of the given numbers is 2 x 2 x 57 x 349 x 191 = 15198252

Least Common Multiple of 228,698,764 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 228,698,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,698,764) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(228,698,764) x common factors =2 x 4 = 8

LCM(228,698,764) = ( 228 × 698 × 764 ) / 8

LCM(228,698,764) = 121586016 / 8

LCM(228,698,764) = 15198252

∴ Least Common Multiple of 228,698,764 is 15198252

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 228, 698, 764

1. What is the LCM of 228, 698, 764?

Answer: LCM of 228, 698, 764 is 15198252.

2. What are the Factors of 15198252?

Answer: Factors of 15198252 are . There are integers that are factors of 15198252

3. How to Find the LCM of 228, 698, 764 ?

Least Common Multiple of 228, 698, 764.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(228, 698, 764) = 2 x 2 x 3 x 19 x 191 x 349 = 15198252.