Least Common Multiple of 814, 407, 87

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, 407, 87 i.e. 70818 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 407, 87 is 70818.

LCM(814, 407, 87) = 70818

LCM of 814, 407, 87

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

LCM of:

Least Common Multiple of 814,407,87

Least Common Multiple (LCM) of 814,407,87 is 70818

11 814, 407, 87
37 74, 37, 87
2, 1, 87

∴ So the LCM of the given numbers is 11 x 37 x 2 x 1 x 87 = 70818

Least Common Multiple of 814,407,87 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 814,407,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,407,87) = 1

common factors(in case of two or more numbers have common factors) = 407

GCF(814,407,87) x common factors =1 x 407 = 407

LCM(814,407,87) = ( 814 × 407 × 87 ) / 407

LCM(814,407,87) = 28822926 / 407

LCM(814,407,87) = 70818

∴ Least Common Multiple of 814,407,87 is 70818

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 814, 407, 87

1. What is the LCM of 814, 407, 87?

Answer: LCM of 814, 407, 87 is 70818.

2. What are the Factors of 70818?

Answer: Factors of 70818 are . There are integers that are factors of 70818

3. How to Find the LCM of 814, 407, 87 ?

Least Common Multiple of 814, 407, 87.

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, 407, 87) = 2 x 3 x 11 x 29 x 37 = 70818.