Least Common Multiple of 532/70, 516/93, 456/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/70, 516/93, 456/791 quickly i.e. 137256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/70, 516/93, 456/791 is 137256.

LCM(532/70, 516/93, 456/791) = 137256

LCM of 532/70, 516/93, 456/791

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 532/70,516/93,456/791

Given numbers are 532/70,516/93,456/791

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 532,516,456

Least Common Multiple of Numerators i.e. LCM of 532,516,456 is 137256.

GCF of Denominators means GCF of 70,93,791 as per the given fractions.

GCF of 70,93,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,516,456

LCM of Fractions 532/70,516/93,456/791 is 137256

2 532, 516, 456
2 266, 258, 228
3 133, 129, 114
19 133, 43, 38
7, 43, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 7 x 43 x 2 = 137256

Least Common Multiple of 532,516,456 with GCF Formula

Least Common Multiple of 532,516,456 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 532,516,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,516,456) = 4

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

GCF(532,516,456) x common factors =4 x 228 = 912

LCM(532,516,456) = ( 532 × 516 × 456 ) / 912

LCM(532,516,456) = 125177472 / 912

LCM(532,516,456) = 137256


Lets's calculate GCF of 70,93,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137256/1

Therefore the LCM of Fractions 532/70,516/93,456/791 is 137256

Greatest Common Factor of 70,93,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,93,791 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 70,93,791 . The biggest common factor number is the GCF number.
So the greatest common factor 70,93,791 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 532/70, 516/93, 456/791

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 532/70, 516/93, 456/791?

Answer: LCM of Numerators as per given numbers 532/70, 516/93, 456/791 is

LCM of Numerators i.e. for 532,516,456 is 137256

GCF of denominators i.e. for 70,93,791 is 1.

Thus, LCM of Fractions is 137256.Finally, LCM of Fractions for 532/70, 516/93, 456/791 is 137256.