Least Common Multiple of 9/77, 8/96, 31/53, 71/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/77, 8/96, 31/53, 71/506 quickly i.e. 158472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/77, 8/96, 31/53, 71/506 is 158472.

LCM(9/77, 8/96, 31/53, 71/506) = 158472

LCM of 9/77, 8/96, 31/53, 71/506

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 9/77,8/96,31/53,71/506

Given numbers are 9/77,8/96,31/53,71/506

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 9,8,31,71

Least Common Multiple of Numerators i.e. LCM of 9,8,31,71 is 158472.

GCF of Denominators means GCF of 77,96,53,506 as per the given fractions.

GCF of 77,96,53,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,8,31,71

LCM of Fractions 9/77,8/96,31/53,71/506 is 158472

Given numbers has no common factors except 1. So, there LCM is their product i.e 158472

Least Common Multiple of 9,8,31,71 with GCF Formula

Least Common Multiple of 9,8,31,71 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 9,8,31,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,8,31,71) = 1

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

GCF(9,8,31,71) x common factors =1 x 1 = 1

LCM(9,8,31,71) = ( 9 × 8 × 31 × 71 ) / 1

LCM(9,8,31,71) = 158472 / 1

LCM(9,8,31,71) = 158472


Lets's calculate GCF of 77,96,53,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158472/1

Therefore the LCM of Fractions 9/77,8/96,31/53,71/506 is 158472

Greatest Common Factor of 77,96,53,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,96,53,506 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 77,96,53,506 . The biggest common factor number is the GCF number.
So the greatest common factor 77,96,53,506 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 9/77, 8/96, 31/53, 71/506

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 9/77, 8/96, 31/53, 71/506?

Answer: LCM of Numerators as per given numbers 9/77, 8/96, 31/53, 71/506 is

LCM of Numerators i.e. for 9,8,31,71 is 158472

GCF of denominators i.e. for 77,96,53,506 is 1.

Thus, LCM of Fractions is 158472.Finally, LCM of Fractions for 9/77, 8/96, 31/53, 71/506 is 158472.