Least Common Multiple of 31/29, 73/66, 36/49, 22/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/29, 73/66, 36/49, 22/651 quickly i.e. 896148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/29, 73/66, 36/49, 22/651 is 896148.

LCM(31/29, 73/66, 36/49, 22/651) = 896148

LCM of 31/29, 73/66, 36/49, 22/651

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 31/29,73/66,36/49,22/651

Given numbers are 31/29,73/66,36/49,22/651

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 31,73,36,22

Least Common Multiple of Numerators i.e. LCM of 31,73,36,22 is 896148.

GCF of Denominators means GCF of 29,66,49,651 as per the given fractions.

GCF of 29,66,49,651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,73,36,22

LCM of Fractions 31/29,73/66,36/49,22/651 is 896148

2 31, 73, 36, 22
31, 73, 18, 11

∴ So the LCM of the given numbers is 2 x 31 x 73 x 18 x 11 = 896148

Least Common Multiple of 31,73,36,22 with GCF Formula

Least Common Multiple of 31,73,36,22 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 31,73,36,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,73,36,22) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,73,36,22) x common factors =1 x 2 = 2

LCM(31,73,36,22) = ( 31 × 73 × 36 × 22 ) / 2

LCM(31,73,36,22) = 1792296 / 2

LCM(31,73,36,22) = 896148


Lets's calculate GCF of 29,66,49,651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896148/1

Therefore the LCM of Fractions 31/29,73/66,36/49,22/651 is 896148

Greatest Common Factor of 29,66,49,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,66,49,651 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 29,66,49,651 . The biggest common factor number is the GCF number.
So the greatest common factor 29,66,49,651 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 31/29, 73/66, 36/49, 22/651

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 31/29, 73/66, 36/49, 22/651?

Answer: LCM of Numerators as per given numbers 31/29, 73/66, 36/49, 22/651 is

LCM of Numerators i.e. for 31,73,36,22 is 896148

GCF of denominators i.e. for 29,66,49,651 is 1.

Thus, LCM of Fractions is 896148.Finally, LCM of Fractions for 31/29, 73/66, 36/49, 22/651 is 896148.