Least Common Multiple of 90/708, 536/255, 258/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/708, 536/255, 258/941 quickly i.e. 1037160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/708, 536/255, 258/941 is 1037160.

LCM(90/708, 536/255, 258/941) = 1037160

LCM of 90/708, 536/255, 258/941

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 90/708,536/255,258/941

Given numbers are 90/708,536/255,258/941

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 90,536,258

Least Common Multiple of Numerators i.e. LCM of 90,536,258 is 1037160.

GCF of Denominators means GCF of 708,255,941 as per the given fractions.

GCF of 708,255,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,536,258

LCM of Fractions 90/708,536/255,258/941 is 1037160

2 90, 536, 258
3 45, 268, 129
15, 268, 43

∴ So the LCM of the given numbers is 2 x 3 x 15 x 268 x 43 = 1037160

Least Common Multiple of 90,536,258 with GCF Formula

Least Common Multiple of 90,536,258 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 90,536,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,536,258) = 2

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

GCF(90,536,258) x common factors =2 x 6 = 12

LCM(90,536,258) = ( 90 × 536 × 258 ) / 12

LCM(90,536,258) = 12445920 / 12

LCM(90,536,258) = 1037160


Lets's calculate GCF of 708,255,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1037160/1

Therefore the LCM of Fractions 90/708,536/255,258/941 is 1037160

Greatest Common Factor of 708,255,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,255,941 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 708,255,941 . The biggest common factor number is the GCF number.
So the greatest common factor 708,255,941 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/708, 536/255, 258/941

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 90/708, 536/255, 258/941?

Answer: LCM of Numerators as per given numbers 90/708, 536/255, 258/941 is

LCM of Numerators i.e. for 90,536,258 is 1037160

GCF of denominators i.e. for 708,255,941 is 1.

Thus, LCM of Fractions is 1037160.Finally, LCM of Fractions for 90/708, 536/255, 258/941 is 1037160.