Least Common Multiple of 15, 90, 36, 796

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, 90, 36, 796 i.e. 35820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 90, 36, 796 is 35820.

LCM(15, 90, 36, 796) = 35820

LCM of 15, 90, 36, 796

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

LCM of:

Least Common Multiple of 15,90,36,796

Least Common Multiple (LCM) of 15,90,36,796 is 35820

2 15, 90, 36, 796
2 15, 45, 18, 398
3 15, 45, 9, 199
3 5, 15, 3, 199
5 5, 5, 1, 199
1, 1, 1, 199

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 x 199 = 35820

Least Common Multiple of 15,90,36,796 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 15,90,36,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,90,36,796) = 1

common factors(in case of two or more numbers have common factors) = 1080

GCF(15,90,36,796) x common factors =1 x 1080 = 1080

LCM(15,90,36,796) = ( 15 × 90 × 36 × 796 ) / 1080

LCM(15,90,36,796) = 38685600 / 1080

LCM(15,90,36,796) = 35820

∴ Least Common Multiple of 15,90,36,796 is 35820

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 90, 36, 796

1. What is the LCM of 15, 90, 36, 796?

Answer: LCM of 15, 90, 36, 796 is 35820.

2. What are the Factors of 35820?

Answer: Factors of 35820 are . There are integers that are factors of 35820

3. How to Find the LCM of 15, 90, 36, 796 ?

Least Common Multiple of 15, 90, 36, 796.

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, 90, 36, 796) = 2 x 2 x 3 x 3 x 5 x 199 = 35820.