Least Common Multiple of 731/806, 456/388, 952/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/806, 456/388, 952/725 quickly i.e. 2333352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/806, 456/388, 952/725 is 2333352.

LCM(731/806, 456/388, 952/725) = 2333352

LCM of 731/806, 456/388, 952/725

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 731/806,456/388,952/725

Given numbers are 731/806,456/388,952/725

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 731,456,952

Least Common Multiple of Numerators i.e. LCM of 731,456,952 is 2333352.

GCF of Denominators means GCF of 806,388,725 as per the given fractions.

GCF of 806,388,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,456,952

LCM of Fractions 731/806,456/388,952/725 is 2333352

2 731, 456, 952
2 731, 228, 476
2 731, 114, 238
17 731, 57, 119
43, 57, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 43 x 57 x 7 = 2333352

Least Common Multiple of 731,456,952 with GCF Formula

Least Common Multiple of 731,456,952 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 731,456,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,456,952) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(731,456,952) x common factors =1 x 136 = 136

LCM(731,456,952) = ( 731 × 456 × 952 ) / 136

LCM(731,456,952) = 317335872 / 136

LCM(731,456,952) = 2333352


Lets's calculate GCF of 806,388,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2333352/1

Therefore the LCM of Fractions 731/806,456/388,952/725 is 2333352

Greatest Common Factor of 806,388,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,388,725 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 806,388,725 . The biggest common factor number is the GCF number.
So the greatest common factor 806,388,725 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 731/806, 456/388, 952/725

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 731/806, 456/388, 952/725?

Answer: LCM of Numerators as per given numbers 731/806, 456/388, 952/725 is

LCM of Numerators i.e. for 731,456,952 is 2333352

GCF of denominators i.e. for 806,388,725 is 1.

Thus, LCM of Fractions is 2333352.Finally, LCM of Fractions for 731/806, 456/388, 952/725 is 2333352.