Least Common Multiple of 80/56, 45/49, 92/73, 96/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/56, 45/49, 92/73, 96/959 quickly i.e. 33120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/56, 45/49, 92/73, 96/959 is 33120.

LCM(80/56, 45/49, 92/73, 96/959) = 33120

LCM of 80/56, 45/49, 92/73, 96/959

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 80/56,45/49,92/73,96/959

Given numbers are 80/56,45/49,92/73,96/959

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 80,45,92,96

Least Common Multiple of Numerators i.e. LCM of 80,45,92,96 is 33120.

GCF of Denominators means GCF of 56,49,73,959 as per the given fractions.

GCF of 56,49,73,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,45,92,96

LCM of Fractions 80/56,45/49,92/73,96/959 is 33120

2 80, 45, 92, 96
2 40, 45, 46, 48
2 20, 45, 23, 24
2 10, 45, 23, 12
3 5, 45, 23, 6
5 5, 15, 23, 2
1, 3, 23, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 3 x 23 x 2 = 33120

Least Common Multiple of 80,45,92,96 with GCF Formula

Least Common Multiple of 80,45,92,96 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 80,45,92,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,45,92,96) = 1

common factors(in case of two or more numbers have common factors) = 960

GCF(80,45,92,96) x common factors =1 x 960 = 960

LCM(80,45,92,96) = ( 80 × 45 × 92 × 96 ) / 960

LCM(80,45,92,96) = 31795200 / 960

LCM(80,45,92,96) = 33120


Lets's calculate GCF of 56,49,73,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33120/1

Therefore the LCM of Fractions 80/56,45/49,92/73,96/959 is 33120

Greatest Common Factor of 56,49,73,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,49,73,959 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 49

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

1,7,49

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 56,49,73,959 . The biggest common factor number is the GCF number.
So the greatest common factor 56,49,73,959 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 80/56, 45/49, 92/73, 96/959

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 80/56, 45/49, 92/73, 96/959?

Answer: LCM of Numerators as per given numbers 80/56, 45/49, 92/73, 96/959 is

LCM of Numerators i.e. for 80,45,92,96 is 33120

GCF of denominators i.e. for 56,49,73,959 is 1.

Thus, LCM of Fractions is 33120.Finally, LCM of Fractions for 80/56, 45/49, 92/73, 96/959 is 33120.