Least Common Multiple of 147/175, 650/473, 952/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/175, 650/473, 952/378 quickly i.e. 6497400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/175, 650/473, 952/378 is 6497400.

LCM(147/175, 650/473, 952/378) = 6497400

LCM of 147/175, 650/473, 952/378

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 147/175,650/473,952/378

Given numbers are 147/175,650/473,952/378

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 147,650,952

Least Common Multiple of Numerators i.e. LCM of 147,650,952 is 6497400.

GCF of Denominators means GCF of 175,473,378 as per the given fractions.

GCF of 175,473,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,650,952

LCM of Fractions 147/175,650/473,952/378 is 6497400

2 147, 650, 952
7 147, 325, 476
21, 325, 68

∴ So the LCM of the given numbers is 2 x 7 x 21 x 325 x 68 = 6497400

Least Common Multiple of 147,650,952 with GCF Formula

Least Common Multiple of 147,650,952 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 147,650,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,650,952) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(147,650,952) x common factors =1 x 14 = 14

LCM(147,650,952) = ( 147 × 650 × 952 ) / 14

LCM(147,650,952) = 90963600 / 14

LCM(147,650,952) = 6497400


Lets's calculate GCF of 175,473,378

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6497400/1

Therefore the LCM of Fractions 147/175,650/473,952/378 is 6497400

Greatest Common Factor of 175,473,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,473,378 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 175,473,378 . The biggest common factor number is the GCF number.
So the greatest common factor 175,473,378 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 147/175, 650/473, 952/378

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 147/175, 650/473, 952/378?

Answer: LCM of Numerators as per given numbers 147/175, 650/473, 952/378 is

LCM of Numerators i.e. for 147,650,952 is 6497400

GCF of denominators i.e. for 175,473,378 is 1.

Thus, LCM of Fractions is 6497400.Finally, LCM of Fractions for 147/175, 650/473, 952/378 is 6497400.