Least Common Multiple of 58, 45, 89, 972

Q: How to Find the LCM of 58, 45, 89, 972 ?

Least Common Multiple of 58, 45, 89, 972 = 12543660 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, 89, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 29 x 89 = 12543660.

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, 89, 972 i.e. 12543660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 45, 89, 972 is 12543660.

LCM(58, 45, 89, 972) = 12543660

LCM of 58, 45, 89, 972

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

Least Common Multiple of 58, 45, 89, 972 by common division method
Least Common Multiple of 58, 45, 89, 972 with GCF Formula

Least Common Multiple of 58,45,89,972

Least Common Multiple (LCM) of 58,45,89,972 is 12543660

2	58, 45, 89, 972
3	29, 45, 89, 486
3	29, 15, 89, 162
	29, 5, 89, 54

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 5 x 89 x 54 = 12543660

Least Common Multiple of 58,45,89,972 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,45,89,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,45,89,972) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(58,45,89,972) x common factors =1 x 18 = 18

LCM(58,45,89,972) = ( 58 × 45 × 89 × 972 ) / 18

LCM(58,45,89,972) = 225785880 / 18

LCM(58,45,89,972) = 12543660

∴ Least Common Multiple of 58,45,89,972 is 12543660

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 58, 45, 89, 972

1. What is the LCM of 58, 45, 89, 972?

Answer: LCM of 58, 45, 89, 972 is 12543660.

2. What are the Factors of 12543660?

Answer: Factors of 12543660 are . There are integers that are factors of 12543660

3. How to Find the LCM of 58, 45, 89, 972 ?

Least Common Multiple of 58, 45, 89, 972.

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, 89, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 29 x 89 = 12543660.