Least Common Multiple of 60, 91, 95, 208

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, 91, 95, 208 i.e. 414960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 91, 95, 208 is 414960.

LCM(60, 91, 95, 208) = 414960

LCM of 60, 91, 95, 208

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

LCM of:

Least Common Multiple of 60,91,95,208

Least Common Multiple (LCM) of 60,91,95,208 is 414960

2 60, 91, 95, 208
2 30, 91, 95, 104
5 15, 91, 95, 52
13 3, 91, 19, 52
3, 7, 19, 4

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 3 x 7 x 19 x 4 = 414960

Least Common Multiple of 60,91,95,208 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 60,91,95,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,91,95,208) = 1

common factors(in case of two or more numbers have common factors) = 260

GCF(60,91,95,208) x common factors =1 x 260 = 260

LCM(60,91,95,208) = ( 60 × 91 × 95 × 208 ) / 260

LCM(60,91,95,208) = 107889600 / 260

LCM(60,91,95,208) = 414960

∴ Least Common Multiple of 60,91,95,208 is 414960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 91, 95, 208

1. What is the LCM of 60, 91, 95, 208?

Answer: LCM of 60, 91, 95, 208 is 414960.

2. What are the Factors of 414960?

Answer: Factors of 414960 are . There are integers that are factors of 414960

3. How to Find the LCM of 60, 91, 95, 208 ?

Least Common Multiple of 60, 91, 95, 208.

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, 91, 95, 208) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19 = 414960.