Least Common Multiple of 52/148, 627/87, 912/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/148, 627/87, 912/953 quickly i.e. 130416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/148, 627/87, 912/953 is 130416.

LCM(52/148, 627/87, 912/953) = 130416

LCM of 52/148, 627/87, 912/953

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 52/148,627/87,912/953

Given numbers are 52/148,627/87,912/953

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 52,627,912

Least Common Multiple of Numerators i.e. LCM of 52,627,912 is 130416.

GCF of Denominators means GCF of 148,87,953 as per the given fractions.

GCF of 148,87,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,627,912

LCM of Fractions 52/148,627/87,912/953 is 130416

2 52, 627, 912
2 26, 627, 456
3 13, 627, 228
19 13, 209, 76
13, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 13 x 11 x 4 = 130416

Least Common Multiple of 52,627,912 with GCF Formula

Least Common Multiple of 52,627,912 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 52,627,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,627,912) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(52,627,912) x common factors =1 x 228 = 228

LCM(52,627,912) = ( 52 × 627 × 912 ) / 228

LCM(52,627,912) = 29734848 / 228

LCM(52,627,912) = 130416


Lets's calculate GCF of 148,87,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130416/1

Therefore the LCM of Fractions 52/148,627/87,912/953 is 130416

Greatest Common Factor of 148,87,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,87,953 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 148,87,953 . The biggest common factor number is the GCF number.
So the greatest common factor 148,87,953 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 52/148, 627/87, 912/953

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 52/148, 627/87, 912/953?

Answer: LCM of Numerators as per given numbers 52/148, 627/87, 912/953 is

LCM of Numerators i.e. for 52,627,912 is 130416

GCF of denominators i.e. for 148,87,953 is 1.

Thus, LCM of Fractions is 130416.Finally, LCM of Fractions for 52/148, 627/87, 912/953 is 130416.