Least Common Multiple of 398, 104, 241, 648, 558

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 398, 104, 241, 648, 558 i.e. 12524205096 smallest integer divisible by all numbers.

Least common multiple (LCM) of 398, 104, 241, 648, 558 is 12524205096.

LCM(398, 104, 241, 648, 558) = 12524205096

LCM of 398, 104, 241, 648, 558

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

LCM of:

Least Common Multiple of 398,104,241,648,558

Least Common Multiple (LCM) of 398,104,241,648,558 is 12524205096

2 398, 104, 241, 648, 558
2 199, 52, 241, 324, 279
2 199, 26, 241, 162, 279
3 199, 13, 241, 81, 279
3 199, 13, 241, 27, 93
199, 13, 241, 9, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 199 x 13 x 241 x 9 x 31 = 12524205096

Least Common Multiple of 398,104,241,648,558 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 398,104,241,648,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,104,241,648,558) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(398,104,241,648,558) x common factors =1 x 288 = 288

LCM(398,104,241,648,558) = ( 398 × 104 × 241 × 648 × 558 ) / 288

LCM(398,104,241,648,558) = 3606971067648 / 288

LCM(398,104,241,648,558) = 12524205096

∴ Least Common Multiple of 398,104,241,648,558 is 12524205096

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 398, 104, 241, 648, 558

1. What is the LCM of 398, 104, 241, 648, 558?

Answer: LCM of 398, 104, 241, 648, 558 is 12524205096.

2. What are the Factors of 12524205096?

Answer: Factors of 12524205096 are . There are integers that are factors of 12524205096

3. How to Find the LCM of 398, 104, 241, 648, 558 ?

Least Common Multiple of 398, 104, 241, 648, 558.

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(398, 104, 241, 648, 558) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 31 x 199 x 241 = 12524205096.