Least Common Multiple of 87/68, 94/40, 798/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/68, 94/40, 798/118 quickly i.e. 543837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/68, 94/40, 798/118 is 543837.

LCM(87/68, 94/40, 798/118) = 543837

LCM of 87/68, 94/40, 798/118

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 87/68,94/40,798/118

Given numbers are 87/68,94/40,798/118

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 87,94,798

Least Common Multiple of Numerators i.e. LCM of 87,94,798 is 1087674.

GCF of Denominators means GCF of 68,40,118 as per the given fractions.

GCF of 68,40,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,94,798

LCM of Fractions 87/68,94/40,798/118 is 543837

2 87, 94, 798
3 87, 47, 399
29, 47, 133

∴ So the LCM of the given numbers is 2 x 3 x 29 x 47 x 133 = 1087674

Least Common Multiple of 87,94,798 with GCF Formula

Least Common Multiple of 87,94,798 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 87,94,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,94,798) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,94,798) x common factors =1 x 6 = 6

LCM(87,94,798) = ( 87 × 94 × 798 ) / 6

LCM(87,94,798) = 6526044 / 6

LCM(87,94,798) = 1087674


Lets's calculate GCF of 68,40,118

2 68, 40, 118
34, 20, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087674/2

Therefore the LCM of Fractions 87/68,94/40,798/118 is 543837

Greatest Common Factor of 68,40,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,40,118 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 68,40,118 . The biggest common factor number is the GCF number.
So the greatest common factor 68,40,118 is 2.


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 87/68, 94/40, 798/118

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 87/68, 94/40, 798/118?

Answer: LCM of Numerators as per given numbers 87/68, 94/40, 798/118 is

LCM of Numerators i.e. for 87,94,798 is 1087674

GCF of denominators i.e. for 68,40,118 is 2.

Thus, LCM of Fractions is 543837.Finally, LCM of Fractions for 87/68, 94/40, 798/118 is 543837.