Least Common Multiple of 67, 58, 464

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 67, 58, 464 i.e. 31088 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 58, 464 is 31088.

LCM(67, 58, 464) = 31088

LCM of 67, 58, 464

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

LCM of:

Least Common Multiple of 67,58,464

Least Common Multiple (LCM) of 67,58,464 is 31088

2 67, 58, 464
29 67, 29, 232
67, 1, 8

∴ So the LCM of the given numbers is 2 x 29 x 67 x 1 x 8 = 31088

Least Common Multiple of 67,58,464 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 67,58,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,58,464) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(67,58,464) x common factors =1 x 58 = 58

LCM(67,58,464) = ( 67 × 58 × 464 ) / 58

LCM(67,58,464) = 1803104 / 58

LCM(67,58,464) = 31088

∴ Least Common Multiple of 67,58,464 is 31088

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 67, 58, 464

1. What is the LCM of 67, 58, 464?

Answer: LCM of 67, 58, 464 is 31088.

2. What are the Factors of 31088?

Answer: Factors of 31088 are . There are integers that are factors of 31088

3. How to Find the LCM of 67, 58, 464 ?

Least Common Multiple of 67, 58, 464.

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(67, 58, 464) = 2 x 2 x 2 x 2 x 29 x 67 = 31088.