Least Common Multiple of 31/52, 832/16, 992/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/52, 832/16, 992/748 quickly i.e. 6448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/52, 832/16, 992/748 is 6448.

LCM(31/52, 832/16, 992/748) = 6448

LCM of 31/52, 832/16, 992/748

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 31/52,832/16,992/748

Given numbers are 31/52,832/16,992/748

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 31,832,992

Least Common Multiple of Numerators i.e. LCM of 31,832,992 is 25792.

GCF of Denominators means GCF of 52,16,748 as per the given fractions.

GCF of 52,16,748 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,832,992

LCM of Fractions 31/52,832/16,992/748 is 6448

2 31, 832, 992
2 31, 416, 496
2 31, 208, 248
2 31, 104, 124
2 31, 52, 62
31 31, 26, 31
1, 26, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 31 x 1 x 26 x 1 = 25792

Least Common Multiple of 31,832,992 with GCF Formula

Least Common Multiple of 31,832,992 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 31,832,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,832,992) = 1

common factors(in case of two or more numbers have common factors) = 992

GCF(31,832,992) x common factors =1 x 992 = 992

LCM(31,832,992) = ( 31 × 832 × 992 ) / 992

LCM(31,832,992) = 25585664 / 992

LCM(31,832,992) = 25792


Lets's calculate GCF of 52,16,748

2 52, 16, 748
2 26, 8, 374
13, 4, 187

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25792/4

Therefore the LCM of Fractions 31/52,832/16,992/748 is 6448

Greatest Common Factor of 52,16,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,16,748 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 52,16,748 . The biggest common factor number is the GCF number.
So the greatest common factor 52,16,748 is 4.


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 31/52, 832/16, 992/748

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 31/52, 832/16, 992/748?

Answer: LCM of Numerators as per given numbers 31/52, 832/16, 992/748 is

LCM of Numerators i.e. for 31,832,992 is 25792

GCF of denominators i.e. for 52,16,748 is 4.

Thus, LCM of Fractions is 6448.Finally, LCM of Fractions for 31/52, 832/16, 992/748 is 6448.