Least Common Multiple of 975, 148, 245, 390

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 975, 148, 245, 390 i.e. 7070700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 148, 245, 390 is 7070700.

LCM(975, 148, 245, 390) = 7070700

LCM of 975, 148, 245, 390

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

LCM of:

Least Common Multiple of 975,148,245,390

Least Common Multiple (LCM) of 975,148,245,390 is 7070700

2 975, 148, 245, 390
3 975, 74, 245, 195
5 325, 74, 245, 65
13 13, 74, 49, 65
1, 74, 49, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 74 x 49 x 5 = 7070700

Least Common Multiple of 975,148,245,390 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 975,148,245,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,148,245,390) = 1

common factors(in case of two or more numbers have common factors) = 1950

GCF(975,148,245,390) x common factors =1 x 1950 = 1950

LCM(975,148,245,390) = ( 975 × 148 × 245 × 390 ) / 1950

LCM(975,148,245,390) = 13787865000 / 1950

LCM(975,148,245,390) = 7070700

∴ Least Common Multiple of 975,148,245,390 is 7070700

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 975, 148, 245, 390

1. What is the LCM of 975, 148, 245, 390?

Answer: LCM of 975, 148, 245, 390 is 7070700.

2. What are the Factors of 7070700?

Answer: Factors of 7070700 are . There are integers that are factors of 7070700

3. How to Find the LCM of 975, 148, 245, 390 ?

Least Common Multiple of 975, 148, 245, 390.

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(975, 148, 245, 390) = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 13 x 37 = 7070700.