Least Common Multiple of 58, 153, 408

Q: How to Find the LCM of 58, 153, 408 ?

Least Common Multiple of 58, 153, 408 = 35496 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, 153, 408) = 2 x 2 x 2 x 3 x 3 x 17 x 29 = 35496.

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, 153, 408 i.e. 35496 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 153, 408 is 35496.

LCM(58, 153, 408) = 35496

LCM of 58, 153, 408

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

Least Common Multiple of 58, 153, 408 by common division method
Least Common Multiple of 58, 153, 408 with GCF Formula

Least Common Multiple of 58,153,408

Least Common Multiple (LCM) of 58,153,408 is 35496

2	58, 153, 408
3	29, 153, 204
17	29, 51, 68
	29, 3, 4

∴ So the LCM of the given numbers is 2 x 3 x 17 x 29 x 3 x 4 = 35496

Least Common Multiple of 58,153,408 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 58,153,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,153,408) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(58,153,408) x common factors =1 x 102 = 102

LCM(58,153,408) = ( 58 × 153 × 408 ) / 102

LCM(58,153,408) = 3620592 / 102

LCM(58,153,408) = 35496

∴ Least Common Multiple of 58,153,408 is 35496

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 58, 153, 408

1. What is the LCM of 58, 153, 408?

Answer: LCM of 58, 153, 408 is 35496.

2. What are the Factors of 35496?

Answer: Factors of 35496 are . There are integers that are factors of 35496

3. How to Find the LCM of 58, 153, 408 ?

Least Common Multiple of 58, 153, 408.

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, 153, 408) = 2 x 2 x 2 x 3 x 3 x 17 x 29 = 35496.