Least Common Multiple of 90, 48, 72, 245

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 90, 48, 72, 245 i.e. 35280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 48, 72, 245 is 35280.

LCM(90, 48, 72, 245) = 35280

LCM of 90, 48, 72, 245

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

LCM of:

Least Common Multiple of 90,48,72,245

Least Common Multiple (LCM) of 90,48,72,245 is 35280

2 90, 48, 72, 245
2 45, 24, 36, 245
2 45, 12, 18, 245
3 45, 6, 9, 245
3 15, 2, 3, 245
5 5, 2, 1, 245
1, 2, 1, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 2 x 1 x 49 = 35280

Least Common Multiple of 90,48,72,245 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 90,48,72,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,48,72,245) = 1

common factors(in case of two or more numbers have common factors) = 2160

GCF(90,48,72,245) x common factors =1 x 2160 = 2160

LCM(90,48,72,245) = ( 90 × 48 × 72 × 245 ) / 2160

LCM(90,48,72,245) = 76204800 / 2160

LCM(90,48,72,245) = 35280

∴ Least Common Multiple of 90,48,72,245 is 35280

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 48, 72, 245

1. What is the LCM of 90, 48, 72, 245?

Answer: LCM of 90, 48, 72, 245 is 35280.

2. What are the Factors of 35280?

Answer: Factors of 35280 are . There are integers that are factors of 35280

3. How to Find the LCM of 90, 48, 72, 245 ?

Least Common Multiple of 90, 48, 72, 245.

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(90, 48, 72, 245) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 = 35280.