Least Common Multiple of 678, 320, 840, 392, 365

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 678, 320, 840, 392, 365 i.e. 388032960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 678, 320, 840, 392, 365 is 388032960.

LCM(678, 320, 840, 392, 365) = 388032960

LCM of 678, 320, 840, 392, 365

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

LCM of:

Least Common Multiple of 678,320,840,392,365

Least Common Multiple (LCM) of 678,320,840,392,365 is 388032960

2 678, 320, 840, 392, 365
2 339, 160, 420, 196, 365
2 339, 80, 210, 98, 365
3 339, 40, 105, 49, 365
5 113, 40, 35, 49, 365
7 113, 8, 7, 49, 73
113, 8, 1, 7, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 113 x 8 x 1 x 7 x 73 = 388032960

Least Common Multiple of 678,320,840,392,365 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 678,320,840,392,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,320,840,392,365) = 1

common factors(in case of two or more numbers have common factors) = 67200

GCF(678,320,840,392,365) x common factors =1 x 67200 = 67200

LCM(678,320,840,392,365) = ( 678 × 320 × 840 × 392 × 365 ) / 67200

LCM(678,320,840,392,365) = 26075814912000 / 67200

LCM(678,320,840,392,365) = 388032960

∴ Least Common Multiple of 678,320,840,392,365 is 388032960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 678, 320, 840, 392, 365

1. What is the LCM of 678, 320, 840, 392, 365?

Answer: LCM of 678, 320, 840, 392, 365 is 388032960.

2. What are the Factors of 388032960?

Answer: Factors of 388032960 are . There are integers that are factors of 388032960

3. How to Find the LCM of 678, 320, 840, 392, 365 ?

Least Common Multiple of 678, 320, 840, 392, 365.

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(678, 320, 840, 392, 365) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 73 x 113 = 388032960.