Least Common Multiple of 914/660, 1118/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 914/660, 1118/935 quickly i.e. 510926/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 914/660, 1118/935 is 510926/55.

LCM(914/660, 1118/935) = 510926/55

LCM of 914/660, 1118/935

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 914/660,1118/935

Given numbers are 914/660,1118/935

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 914,1118

Least Common Multiple of Numerators i.e. LCM of 914,1118 is 510926.

GCF of Denominators means GCF of 660,935 as per the given fractions.

GCF of 660,935 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 914,1118

LCM of Fractions 914/660,1118/935 is 510926/55

2 914, 1118
457, 559

∴ So the LCM of the given numbers is 2 x 457 x 559 = 510926

Least Common Multiple of 914,1118 with GCF Formula

Least Common Multiple of 914,1118 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 914,1118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,1118) = 2

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

GCF(914,1118) x common factors =2 x 1 = 2

LCM(914,1118) = ( 914 × 1118 ) / 2

LCM(914,1118) = 1021852 / 2

LCM(914,1118) = 510926


Lets's calculate GCF of 660,935

5 660, 935
11 132, 187
12, 17

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510926/55

Therefore the LCM of Fractions 914/660,1118/935 is 510926/55

Greatest Common Factor of 660,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,935 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 660,935 . The biggest common factor number is the GCF number.
So the greatest common factor 660,935 is 55.


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 914/660, 1118/935

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 914/660, 1118/935?

Answer: LCM of Numerators as per given numbers 914/660, 1118/935 is

LCM of Numerators i.e. for 914,1118 is 510926

GCF of denominators i.e. for 660,935 is 55.

Thus, LCM of Fractions is 510926/55.Finally, LCM of Fractions for 914/660, 1118/935 is 510926/55.