Least Common Multiple of 814, 5764

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 814, 5764 i.e. 213268 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 5764 is 213268.

LCM(814, 5764) = 213268

LCM of 814, 5764

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

LCM of:

Least Common Multiple of 814,5764

Least Common Multiple (LCM) of 814,5764 is 213268

2 814, 5764
11 407, 2882
37, 262

∴ So the LCM of the given numbers is 2 x 11 x 37 x 262 = 213268

Least Common Multiple of 814,5764 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 814,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,5764) = 22

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

GCF(814,5764) x common factors =22 x 1 = 22

LCM(814,5764) = ( 814 × 5764 ) / 22

LCM(814,5764) = 4691896 / 22

LCM(814,5764) = 213268

∴ Least Common Multiple of 814,5764 is 213268

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 814, 5764

1. What is the LCM of 814, 5764?

Answer: LCM of 814, 5764 is 213268.

2. What are the Factors of 213268?

Answer: Factors of 213268 are . There are integers that are factors of 213268

3. How to Find the LCM of 814, 5764 ?

Least Common Multiple of 814, 5764.

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(814, 5764) = 2 x 2 x 11 x 37 x 131 = 213268.