Least Common Multiple of 752/316, 402/943, 475/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/316, 402/943, 475/393 quickly i.e. 71797200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/316, 402/943, 475/393 is 71797200.

LCM(752/316, 402/943, 475/393) = 71797200

LCM of 752/316, 402/943, 475/393

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 752/316,402/943,475/393

Given numbers are 752/316,402/943,475/393

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 752,402,475

Least Common Multiple of Numerators i.e. LCM of 752,402,475 is 71797200.

GCF of Denominators means GCF of 316,943,393 as per the given fractions.

GCF of 316,943,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,402,475

LCM of Fractions 752/316,402/943,475/393 is 71797200

2 752, 402, 475
376, 201, 475

∴ So the LCM of the given numbers is 2 x 376 x 201 x 475 = 71797200

Least Common Multiple of 752,402,475 with GCF Formula

Least Common Multiple of 752,402,475 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 752,402,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,402,475) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(752,402,475) x common factors =1 x 2 = 2

LCM(752,402,475) = ( 752 × 402 × 475 ) / 2

LCM(752,402,475) = 143594400 / 2

LCM(752,402,475) = 71797200


Lets's calculate GCF of 316,943,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71797200/1

Therefore the LCM of Fractions 752/316,402/943,475/393 is 71797200

Greatest Common Factor of 316,943,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,943,393 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 316,943,393 . The biggest common factor number is the GCF number.
So the greatest common factor 316,943,393 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 752/316, 402/943, 475/393

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 752/316, 402/943, 475/393?

Answer: LCM of Numerators as per given numbers 752/316, 402/943, 475/393 is

LCM of Numerators i.e. for 752,402,475 is 71797200

GCF of denominators i.e. for 316,943,393 is 1.

Thus, LCM of Fractions is 71797200.Finally, LCM of Fractions for 752/316, 402/943, 475/393 is 71797200.