Least Common Multiple of 15, 60, 45, 104

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 15, 60, 45, 104 i.e. 4680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 60, 45, 104 is 4680.

LCM(15, 60, 45, 104) = 4680

LCM of 15, 60, 45, 104

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

LCM of:

Least Common Multiple of 15,60,45,104

Least Common Multiple (LCM) of 15,60,45,104 is 4680

2 15, 60, 45, 104
2 15, 30, 45, 52
3 15, 15, 45, 26
5 5, 5, 15, 26
1, 1, 3, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 3 x 26 = 4680

Least Common Multiple of 15,60,45,104 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 15,60,45,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,60,45,104) = 1

common factors(in case of two or more numbers have common factors) = 900

GCF(15,60,45,104) x common factors =1 x 900 = 900

LCM(15,60,45,104) = ( 15 × 60 × 45 × 104 ) / 900

LCM(15,60,45,104) = 4212000 / 900

LCM(15,60,45,104) = 4680

∴ Least Common Multiple of 15,60,45,104 is 4680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 60, 45, 104

1. What is the LCM of 15, 60, 45, 104?

Answer: LCM of 15, 60, 45, 104 is 4680.

2. What are the Factors of 4680?

Answer: Factors of 4680 are . There are integers that are factors of 4680

3. How to Find the LCM of 15, 60, 45, 104 ?

Least Common Multiple of 15, 60, 45, 104.

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(15, 60, 45, 104) = 2 x 2 x 2 x 3 x 3 x 5 x 13 = 4680.