Least Common Multiple of 54/988, 78/642, 835/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/988, 78/642, 835/226 quickly i.e. 293085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/988, 78/642, 835/226 is 293085.

LCM(54/988, 78/642, 835/226) = 293085

LCM of 54/988, 78/642, 835/226

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 54/988,78/642,835/226

Given numbers are 54/988,78/642,835/226

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 54,78,835

Least Common Multiple of Numerators i.e. LCM of 54,78,835 is 586170.

GCF of Denominators means GCF of 988,642,226 as per the given fractions.

GCF of 988,642,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,78,835

LCM of Fractions 54/988,78/642,835/226 is 293085

2 54, 78, 835
3 27, 39, 835
9, 13, 835

∴ So the LCM of the given numbers is 2 x 3 x 9 x 13 x 835 = 586170

Least Common Multiple of 54,78,835 with GCF Formula

Least Common Multiple of 54,78,835 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 54,78,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,78,835) = 1

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

GCF(54,78,835) x common factors =1 x 6 = 6

LCM(54,78,835) = ( 54 × 78 × 835 ) / 6

LCM(54,78,835) = 3517020 / 6

LCM(54,78,835) = 586170


Lets's calculate GCF of 988,642,226

2 988, 642, 226
494, 321, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586170/2

Therefore the LCM of Fractions 54/988,78/642,835/226 is 293085

Greatest Common Factor of 988,642,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,642,226 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 988,642,226 . The biggest common factor number is the GCF number.
So the greatest common factor 988,642,226 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 54/988, 78/642, 835/226

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 54/988, 78/642, 835/226?

Answer: LCM of Numerators as per given numbers 54/988, 78/642, 835/226 is

LCM of Numerators i.e. for 54,78,835 is 586170

GCF of denominators i.e. for 988,642,226 is 2.

Thus, LCM of Fractions is 293085.Finally, LCM of Fractions for 54/988, 78/642, 835/226 is 293085.