Least Common Multiple of 85/910, 275/747, 128/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/910, 275/747, 128/256 quickly i.e. 598400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/910, 275/747, 128/256 is 598400.

LCM(85/910, 275/747, 128/256) = 598400

LCM of 85/910, 275/747, 128/256

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 85/910,275/747,128/256

Given numbers are 85/910,275/747,128/256

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 85,275,128

Least Common Multiple of Numerators i.e. LCM of 85,275,128 is 598400.

GCF of Denominators means GCF of 910,747,256 as per the given fractions.

GCF of 910,747,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,275,128

LCM of Fractions 85/910,275/747,128/256 is 598400

5 85, 275, 128
17, 55, 128

∴ So the LCM of the given numbers is 5 x 17 x 55 x 128 = 598400

Least Common Multiple of 85,275,128 with GCF Formula

Least Common Multiple of 85,275,128 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 85,275,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,275,128) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,275,128) x common factors =1 x 5 = 5

LCM(85,275,128) = ( 85 × 275 × 128 ) / 5

LCM(85,275,128) = 2992000 / 5

LCM(85,275,128) = 598400


Lets's calculate GCF of 910,747,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598400/1

Therefore the LCM of Fractions 85/910,275/747,128/256 is 598400

Greatest Common Factor of 910,747,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,747,256 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 910,747,256 . The biggest common factor number is the GCF number.
So the greatest common factor 910,747,256 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 85/910, 275/747, 128/256

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 85/910, 275/747, 128/256?

Answer: LCM of Numerators as per given numbers 85/910, 275/747, 128/256 is

LCM of Numerators i.e. for 85,275,128 is 598400

GCF of denominators i.e. for 910,747,256 is 1.

Thus, LCM of Fractions is 598400.Finally, LCM of Fractions for 85/910, 275/747, 128/256 is 598400.