Least Common Multiple of 41, 10, 90, 378

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 41, 10, 90, 378 i.e. 77490 smallest integer divisible by all numbers.

Least common multiple (LCM) of 41, 10, 90, 378 is 77490.

LCM(41, 10, 90, 378) = 77490

LCM of 41, 10, 90, 378

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

LCM of:

Least Common Multiple of 41,10,90,378

Least Common Multiple (LCM) of 41,10,90,378 is 77490

2 41, 10, 90, 378
3 41, 5, 45, 189
3 41, 5, 15, 63
5 41, 5, 5, 21
41, 1, 1, 21

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 41 x 1 x 1 x 21 = 77490

Least Common Multiple of 41,10,90,378 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 41,10,90,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,10,90,378) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(41,10,90,378) x common factors =1 x 180 = 180

LCM(41,10,90,378) = ( 41 × 10 × 90 × 378 ) / 180

LCM(41,10,90,378) = 13948200 / 180

LCM(41,10,90,378) = 77490

∴ Least Common Multiple of 41,10,90,378 is 77490

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 41, 10, 90, 378

1. What is the LCM of 41, 10, 90, 378?

Answer: LCM of 41, 10, 90, 378 is 77490.

2. What are the Factors of 77490?

Answer: Factors of 77490 are . There are integers that are factors of 77490

3. How to Find the LCM of 41, 10, 90, 378 ?

Least Common Multiple of 41, 10, 90, 378.

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(41, 10, 90, 378) = 2 x 3 x 3 x 3 x 5 x 7 x 41 = 77490.