Least Common Multiple of 364, 713, 352

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, 713, 352 i.e. 22838816 smallest integer divisible by all numbers.

Least common multiple (LCM) of 364, 713, 352 is 22838816.

LCM(364, 713, 352) = 22838816

LCM of 364, 713, 352

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

LCM of:

Least Common Multiple of 364,713,352

Least Common Multiple (LCM) of 364,713,352 is 22838816

2 364, 713, 352
2 182, 713, 176
91, 713, 88

∴ So the LCM of the given numbers is 2 x 2 x 91 x 713 x 88 = 22838816

Least Common Multiple of 364,713,352 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 364,713,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,713,352) = 1

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

GCF(364,713,352) x common factors =1 x 4 = 4

LCM(364,713,352) = ( 364 × 713 × 352 ) / 4

LCM(364,713,352) = 91355264 / 4

LCM(364,713,352) = 22838816

∴ Least Common Multiple of 364,713,352 is 22838816

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 364, 713, 352

1. What is the LCM of 364, 713, 352?

Answer: LCM of 364, 713, 352 is 22838816.

2. What are the Factors of 22838816?

Answer: Factors of 22838816 are . There are integers that are factors of 22838816

3. How to Find the LCM of 364, 713, 352 ?

Least Common Multiple of 364, 713, 352.

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, 713, 352) = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 13 x 23 x 31 = 22838816.