Least Common Multiple of 905/59, 426/76, 177/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 905/59, 426/76, 177/168 quickly i.e. 22746270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/59, 426/76, 177/168 is 22746270.

LCM(905/59, 426/76, 177/168) = 22746270

LCM of 905/59, 426/76, 177/168

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 905/59,426/76,177/168

Given numbers are 905/59,426/76,177/168

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 905,426,177

Least Common Multiple of Numerators i.e. LCM of 905,426,177 is 22746270.

GCF of Denominators means GCF of 59,76,168 as per the given fractions.

GCF of 59,76,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,426,177

LCM of Fractions 905/59,426/76,177/168 is 22746270

3 905, 426, 177
905, 142, 59

∴ So the LCM of the given numbers is 3 x 905 x 142 x 59 = 22746270

Least Common Multiple of 905,426,177 with GCF Formula

Least Common Multiple of 905,426,177 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 905,426,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,426,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(905,426,177) x common factors =1 x 3 = 3

LCM(905,426,177) = ( 905 × 426 × 177 ) / 3

LCM(905,426,177) = 68238810 / 3

LCM(905,426,177) = 22746270


Lets's calculate GCF of 59,76,168

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22746270/1

Therefore the LCM of Fractions 905/59,426/76,177/168 is 22746270

Greatest Common Factor of 59,76,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,76,168 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 59,76,168 . The biggest common factor number is the GCF number.
So the greatest common factor 59,76,168 is 1.


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 905/59, 426/76, 177/168

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 905/59, 426/76, 177/168?

Answer: LCM of Numerators as per given numbers 905/59, 426/76, 177/168 is

LCM of Numerators i.e. for 905,426,177 is 22746270

GCF of denominators i.e. for 59,76,168 is 1.

Thus, LCM of Fractions is 22746270.Finally, LCM of Fractions for 905/59, 426/76, 177/168 is 22746270.