Least Common Multiple of 321, 257, 282, 720, 398

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 321, 257, 282, 720, 398 i.e. 185182665840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 321, 257, 282, 720, 398 is 185182665840.

LCM(321, 257, 282, 720, 398) = 185182665840

LCM of 321, 257, 282, 720, 398

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

LCM of:

Least Common Multiple of 321,257,282,720,398

Least Common Multiple (LCM) of 321,257,282,720,398 is 185182665840

2 321, 257, 282, 720, 398
3 321, 257, 141, 360, 199
107, 257, 47, 120, 199

∴ So the LCM of the given numbers is 2 x 3 x 107 x 257 x 47 x 120 x 199 = 185182665840

Least Common Multiple of 321,257,282,720,398 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 321,257,282,720,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,257,282,720,398) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(321,257,282,720,398) x common factors =1 x 36 = 36

LCM(321,257,282,720,398) = ( 321 × 257 × 282 × 720 × 398 ) / 36

LCM(321,257,282,720,398) = 6666575970240 / 36

LCM(321,257,282,720,398) = 185182665840

∴ Least Common Multiple of 321,257,282,720,398 is 185182665840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 321, 257, 282, 720, 398

1. What is the LCM of 321, 257, 282, 720, 398?

Answer: LCM of 321, 257, 282, 720, 398 is 185182665840.

2. What are the Factors of 185182665840?

Answer: Factors of 185182665840 are . There are integers that are factors of 185182665840

3. How to Find the LCM of 321, 257, 282, 720, 398 ?

Least Common Multiple of 321, 257, 282, 720, 398.

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(321, 257, 282, 720, 398) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 47 x 107 x 199 x 257 = 185182665840.