Least Common Multiple of 40/836, 7644/1916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/836, 7644/1916 quickly i.e. 19110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/836, 7644/1916 is 19110.

LCM(40/836, 7644/1916) = 19110

LCM of 40/836, 7644/1916

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 40/836,7644/1916

Given numbers are 40/836,7644/1916

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 40,7644

Least Common Multiple of Numerators i.e. LCM of 40,7644 is 76440.

GCF of Denominators means GCF of 836,1916 as per the given fractions.

GCF of 836,1916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,7644

LCM of Fractions 40/836,7644/1916 is 19110

2 40, 7644
2 20, 3822
10, 1911

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1911 = 76440

Least Common Multiple of 40,7644 with GCF Formula

Least Common Multiple of 40,7644 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 40,7644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7644) = 4

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

GCF(40,7644) x common factors =4 x 1 = 4

LCM(40,7644) = ( 40 × 7644 ) / 4

LCM(40,7644) = 305760 / 4

LCM(40,7644) = 76440


Lets's calculate GCF of 836,1916

2 836, 1916
2 418, 958
209, 479

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76440/4

Therefore the LCM of Fractions 40/836,7644/1916 is 19110

Greatest Common Factor of 836,1916 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,1916 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1,2,4,479,958,1916

Greatest Common Factor

We found the factors 836,1916 . The biggest common factor number is the GCF number.
So the greatest common factor 836,1916 is 4.


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 40/836, 7644/1916

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 40/836, 7644/1916?

Answer: LCM of Numerators as per given numbers 40/836, 7644/1916 is

LCM of Numerators i.e. for 40,7644 is 76440

GCF of denominators i.e. for 836,1916 is 4.

Thus, LCM of Fractions is 19110.Finally, LCM of Fractions for 40/836, 7644/1916 is 19110.