Least Common Multiple of 52/175, 72/953, 816/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/175, 72/953, 816/764 quickly i.e. 31824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/175, 72/953, 816/764 is 31824.

LCM(52/175, 72/953, 816/764) = 31824

LCM of 52/175, 72/953, 816/764

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 52/175,72/953,816/764

Given numbers are 52/175,72/953,816/764

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 52,72,816

Least Common Multiple of Numerators i.e. LCM of 52,72,816 is 31824.

GCF of Denominators means GCF of 175,953,764 as per the given fractions.

GCF of 175,953,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,72,816

LCM of Fractions 52/175,72/953,816/764 is 31824

2 52, 72, 816
2 26, 36, 408
2 13, 18, 204
3 13, 9, 102
13, 3, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 3 x 34 = 31824

Least Common Multiple of 52,72,816 with GCF Formula

Least Common Multiple of 52,72,816 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 52,72,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,72,816) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(52,72,816) x common factors =4 x 24 = 96

LCM(52,72,816) = ( 52 × 72 × 816 ) / 96

LCM(52,72,816) = 3055104 / 96

LCM(52,72,816) = 31824


Lets's calculate GCF of 175,953,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31824/1

Therefore the LCM of Fractions 52/175,72/953,816/764 is 31824

Greatest Common Factor of 175,953,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,953,764 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 953

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

1,953

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 175,953,764 . The biggest common factor number is the GCF number.
So the greatest common factor 175,953,764 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 52/175, 72/953, 816/764

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 52/175, 72/953, 816/764?

Answer: LCM of Numerators as per given numbers 52/175, 72/953, 816/764 is

LCM of Numerators i.e. for 52,72,816 is 31824

GCF of denominators i.e. for 175,953,764 is 1.

Thus, LCM of Fractions is 31824.Finally, LCM of Fractions for 52/175, 72/953, 816/764 is 31824.