Least Common Multiple of 31/72, 68/782, 969/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/72, 68/782, 969/812 quickly i.e. 60078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/72, 68/782, 969/812 is 60078.

LCM(31/72, 68/782, 969/812) = 60078

LCM of 31/72, 68/782, 969/812

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 31/72,68/782,969/812

Given numbers are 31/72,68/782,969/812

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 31,68,969

Least Common Multiple of Numerators i.e. LCM of 31,68,969 is 120156.

GCF of Denominators means GCF of 72,782,812 as per the given fractions.

GCF of 72,782,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,68,969

LCM of Fractions 31/72,68/782,969/812 is 60078

17 31, 68, 969
31, 4, 57

∴ So the LCM of the given numbers is 17 x 31 x 4 x 57 = 120156

Least Common Multiple of 31,68,969 with GCF Formula

Least Common Multiple of 31,68,969 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 31,68,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,68,969) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(31,68,969) x common factors =1 x 17 = 17

LCM(31,68,969) = ( 31 × 68 × 969 ) / 17

LCM(31,68,969) = 2042652 / 17

LCM(31,68,969) = 120156


Lets's calculate GCF of 72,782,812

2 72, 782, 812
36, 391, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120156/2

Therefore the LCM of Fractions 31/72,68/782,969/812 is 60078

Greatest Common Factor of 72,782,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,782,812 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 72,782,812 . The biggest common factor number is the GCF number.
So the greatest common factor 72,782,812 is 2.


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 31/72, 68/782, 969/812

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 31/72, 68/782, 969/812?

Answer: LCM of Numerators as per given numbers 31/72, 68/782, 969/812 is

LCM of Numerators i.e. for 31,68,969 is 120156

GCF of denominators i.e. for 72,782,812 is 2.

Thus, LCM of Fractions is 60078.Finally, LCM of Fractions for 31/72, 68/782, 969/812 is 60078.