Least Common Multiple of 364, 1162

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 364, 1162 i.e. 30212 smallest integer divisible by all numbers.

Least common multiple (LCM) of 364, 1162 is 30212.

LCM(364, 1162) = 30212

LCM of 364, 1162

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

LCM of:

Least Common Multiple of 364,1162

Least Common Multiple (LCM) of 364,1162 is 30212

2 364, 1162
7 182, 581
26, 83

∴ So the LCM of the given numbers is 2 x 7 x 26 x 83 = 30212

Least Common Multiple of 364,1162 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 364,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,1162) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(364,1162) x common factors =14 x 1 = 14

LCM(364,1162) = ( 364 × 1162 ) / 14

LCM(364,1162) = 422968 / 14

LCM(364,1162) = 30212

∴ Least Common Multiple of 364,1162 is 30212

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 364, 1162

1. What is the LCM of 364, 1162?

Answer: LCM of 364, 1162 is 30212.

2. What are the Factors of 30212?

Answer: Factors of 30212 are . There are integers that are factors of 30212

3. How to Find the LCM of 364, 1162 ?

Least Common Multiple of 364, 1162.

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(364, 1162) = 2 x 2 x 7 x 13 x 83 = 30212.