Least Common Multiple of 54/128, 70/911, 417/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/128, 70/911, 417/274 quickly i.e. 262710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/128, 70/911, 417/274 is 262710.

LCM(54/128, 70/911, 417/274) = 262710

LCM of 54/128, 70/911, 417/274

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 54/128,70/911,417/274

Given numbers are 54/128,70/911,417/274

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 54,70,417

Least Common Multiple of Numerators i.e. LCM of 54,70,417 is 262710.

GCF of Denominators means GCF of 128,911,274 as per the given fractions.

GCF of 128,911,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,70,417

LCM of Fractions 54/128,70/911,417/274 is 262710

2 54, 70, 417
3 27, 35, 417
9, 35, 139

∴ So the LCM of the given numbers is 2 x 3 x 9 x 35 x 139 = 262710

Least Common Multiple of 54,70,417 with GCF Formula

Least Common Multiple of 54,70,417 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 54,70,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,70,417) = 1

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

GCF(54,70,417) x common factors =1 x 6 = 6

LCM(54,70,417) = ( 54 × 70 × 417 ) / 6

LCM(54,70,417) = 1576260 / 6

LCM(54,70,417) = 262710


Lets's calculate GCF of 128,911,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262710/1

Therefore the LCM of Fractions 54/128,70/911,417/274 is 262710

Greatest Common Factor of 128,911,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,911,274 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 128,911,274 . The biggest common factor number is the GCF number.
So the greatest common factor 128,911,274 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 54/128, 70/911, 417/274

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 54/128, 70/911, 417/274?

Answer: LCM of Numerators as per given numbers 54/128, 70/911, 417/274 is

LCM of Numerators i.e. for 54,70,417 is 262710

GCF of denominators i.e. for 128,911,274 is 1.

Thus, LCM of Fractions is 262710.Finally, LCM of Fractions for 54/128, 70/911, 417/274 is 262710.