Least Common Multiple of 58, 45, 567

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 58, 45, 567 i.e. 164430 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 45, 567 is 164430.

LCM(58, 45, 567) = 164430

LCM of 58, 45, 567

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

LCM of:

Least Common Multiple of 58,45,567

Least Common Multiple (LCM) of 58,45,567 is 164430

3 58, 45, 567
3 58, 15, 189
58, 5, 63

∴ So the LCM of the given numbers is 3 x 3 x 58 x 5 x 63 = 164430

Least Common Multiple of 58,45,567 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 58,45,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,45,567) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(58,45,567) x common factors =1 x 9 = 9

LCM(58,45,567) = ( 58 × 45 × 567 ) / 9

LCM(58,45,567) = 1479870 / 9

LCM(58,45,567) = 164430

∴ Least Common Multiple of 58,45,567 is 164430

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 58, 45, 567

1. What is the LCM of 58, 45, 567?

Answer: LCM of 58, 45, 567 is 164430.

2. What are the Factors of 164430?

Answer: Factors of 164430 are . There are integers that are factors of 164430

3. How to Find the LCM of 58, 45, 567 ?

Least Common Multiple of 58, 45, 567.

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(58, 45, 567) = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 29 = 164430.