Least Common Multiple of 40/112, 9159/5775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/112, 9159/5775 quickly i.e. 366360/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/112, 9159/5775 is 366360/7.

LCM(40/112, 9159/5775) = 366360/7

LCM of 40/112, 9159/5775

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 40/112,9159/5775

Given numbers are 40/112,9159/5775

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 40,9159

Least Common Multiple of Numerators i.e. LCM of 40,9159 is 366360.

GCF of Denominators means GCF of 112,5775 as per the given fractions.

GCF of 112,5775 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,9159

LCM of Fractions 40/112,9159/5775 is 366360/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 366360

Least Common Multiple of 40,9159 with GCF Formula

Least Common Multiple of 40,9159 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 40,9159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,9159) = 1

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

GCF(40,9159) x common factors =1 x 1 = 1

LCM(40,9159) = ( 40 × 9159 ) / 1

LCM(40,9159) = 366360 / 1

LCM(40,9159) = 366360


Lets's calculate GCF of 112,5775

7 112, 5775
16, 825

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366360/7

Therefore the LCM of Fractions 40/112,9159/5775 is 366360/7

Greatest Common Factor of 112,5775 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,5775 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Greatest Common Factor

We found the factors 112,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 112,5775 is 7.


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 40/112, 9159/5775

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 40/112, 9159/5775?

Answer: LCM of Numerators as per given numbers 40/112, 9159/5775 is

LCM of Numerators i.e. for 40,9159 is 366360

GCF of denominators i.e. for 112,5775 is 7.

Thus, LCM of Fractions is 366360/7.Finally, LCM of Fractions for 40/112, 9159/5775 is 366360/7.