Least Common Multiple of 60, 78, 91, 410

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 60, 78, 91, 410 i.e. 223860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 78, 91, 410 is 223860.

LCM(60, 78, 91, 410) = 223860

LCM of 60, 78, 91, 410

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

LCM of:

Least Common Multiple of 60,78,91,410

Least Common Multiple (LCM) of 60,78,91,410 is 223860

2 60, 78, 91, 410
3 30, 39, 91, 205
5 10, 13, 91, 205
13 2, 13, 91, 41
2, 1, 7, 41

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 2 x 1 x 7 x 41 = 223860

Least Common Multiple of 60,78,91,410 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 60,78,91,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,78,91,410) = 1

common factors(in case of two or more numbers have common factors) = 780

GCF(60,78,91,410) x common factors =1 x 780 = 780

LCM(60,78,91,410) = ( 60 × 78 × 91 × 410 ) / 780

LCM(60,78,91,410) = 174610800 / 780

LCM(60,78,91,410) = 223860

∴ Least Common Multiple of 60,78,91,410 is 223860

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 78, 91, 410

1. What is the LCM of 60, 78, 91, 410?

Answer: LCM of 60, 78, 91, 410 is 223860.

2. What are the Factors of 223860?

Answer: Factors of 223860 are . There are integers that are factors of 223860

3. How to Find the LCM of 60, 78, 91, 410 ?

Least Common Multiple of 60, 78, 91, 410.

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(60, 78, 91, 410) = 2 x 2 x 3 x 5 x 7 x 13 x 41 = 223860.