Least Common Multiple of 31/518, 48/380, 684/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/518, 48/380, 684/901 quickly i.e. 84816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/518, 48/380, 684/901 is 84816.

LCM(31/518, 48/380, 684/901) = 84816

LCM of 31/518, 48/380, 684/901

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 31/518,48/380,684/901

Given numbers are 31/518,48/380,684/901

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 31,48,684

Least Common Multiple of Numerators i.e. LCM of 31,48,684 is 84816.

GCF of Denominators means GCF of 518,380,901 as per the given fractions.

GCF of 518,380,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,48,684

LCM of Fractions 31/518,48/380,684/901 is 84816

2 31, 48, 684
2 31, 24, 342
3 31, 12, 171
31, 4, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 4 x 57 = 84816

Least Common Multiple of 31,48,684 with GCF Formula

Least Common Multiple of 31,48,684 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 31,48,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,48,684) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(31,48,684) x common factors =1 x 12 = 12

LCM(31,48,684) = ( 31 × 48 × 684 ) / 12

LCM(31,48,684) = 1017792 / 12

LCM(31,48,684) = 84816


Lets's calculate GCF of 518,380,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84816/1

Therefore the LCM of Fractions 31/518,48/380,684/901 is 84816

Greatest Common Factor of 518,380,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,380,901 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 518,380,901 . The biggest common factor number is the GCF number.
So the greatest common factor 518,380,901 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 31/518, 48/380, 684/901

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 31/518, 48/380, 684/901?

Answer: LCM of Numerators as per given numbers 31/518, 48/380, 684/901 is

LCM of Numerators i.e. for 31,48,684 is 84816

GCF of denominators i.e. for 518,380,901 is 1.

Thus, LCM of Fractions is 84816.Finally, LCM of Fractions for 31/518, 48/380, 684/901 is 84816.