Least Common Multiple of 398, 456, 242, 537, 814

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, 456, 242, 537, 814 i.e. 72720698952 smallest integer divisible by all numbers.

Least common multiple (LCM) of 398, 456, 242, 537, 814 is 72720698952.

LCM(398, 456, 242, 537, 814) = 72720698952

LCM of 398, 456, 242, 537, 814

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

LCM of:

Least Common Multiple of 398,456,242,537,814

Least Common Multiple (LCM) of 398,456,242,537,814 is 72720698952

2 398, 456, 242, 537, 814
3 199, 228, 121, 537, 407
11 199, 76, 121, 179, 407
199, 76, 11, 179, 37

∴ So the LCM of the given numbers is 2 x 3 x 11 x 199 x 76 x 11 x 179 x 37 = 72720698952

Least Common Multiple of 398,456,242,537,814 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 398,456,242,537,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,456,242,537,814) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(398,456,242,537,814) x common factors =1 x 264 = 264

LCM(398,456,242,537,814) = ( 398 × 456 × 242 × 537 × 814 ) / 264

LCM(398,456,242,537,814) = 19198264523328 / 264

LCM(398,456,242,537,814) = 72720698952

∴ Least Common Multiple of 398,456,242,537,814 is 72720698952

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 398, 456, 242, 537, 814

1. What is the LCM of 398, 456, 242, 537, 814?

Answer: LCM of 398, 456, 242, 537, 814 is 72720698952.

2. What are the Factors of 72720698952?

Answer: Factors of 72720698952 are . There are integers that are factors of 72720698952

3. How to Find the LCM of 398, 456, 242, 537, 814 ?

Least Common Multiple of 398, 456, 242, 537, 814.

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, 456, 242, 537, 814) = 2 x 2 x 2 x 3 x 11 x 11 x 19 x 37 x 179 x 199 = 72720698952.