Least Common Multiple of 31/175, 853/730, 524/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/175, 853/730, 524/350 quickly i.e. 13856132/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/175, 853/730, 524/350 is 13856132/5.

LCM(31/175, 853/730, 524/350) = 13856132/5

LCM of 31/175, 853/730, 524/350

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 31/175,853/730,524/350

Given numbers are 31/175,853/730,524/350

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 31,853,524

Least Common Multiple of Numerators i.e. LCM of 31,853,524 is 13856132.

GCF of Denominators means GCF of 175,730,350 as per the given fractions.

GCF of 175,730,350 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,853,524

LCM of Fractions 31/175,853/730,524/350 is 13856132/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 13856132

Least Common Multiple of 31,853,524 with GCF Formula

Least Common Multiple of 31,853,524 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 31,853,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,853,524) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,853,524) x common factors =1 x 1 = 1

LCM(31,853,524) = ( 31 × 853 × 524 ) / 1

LCM(31,853,524) = 13856132 / 1

LCM(31,853,524) = 13856132


Lets's calculate GCF of 175,730,350

5 175, 730, 350
35, 146, 70

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13856132/5

Therefore the LCM of Fractions 31/175,853/730,524/350 is 13856132/5

Greatest Common Factor of 175,730,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,730,350 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 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 175,730,350 . The biggest common factor number is the GCF number.
So the greatest common factor 175,730,350 is 5.


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 31/175, 853/730, 524/350

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 31/175, 853/730, 524/350?

Answer: LCM of Numerators as per given numbers 31/175, 853/730, 524/350 is

LCM of Numerators i.e. for 31,853,524 is 13856132

GCF of denominators i.e. for 175,730,350 is 5.

Thus, LCM of Fractions is 13856132/5.Finally, LCM of Fractions for 31/175, 853/730, 524/350 is 13856132/5.