Least Common Multiple of 90/26, 81/172, 262/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/26, 81/172, 262/957 quickly i.e. 106110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/26, 81/172, 262/957 is 106110.

LCM(90/26, 81/172, 262/957) = 106110

LCM of 90/26, 81/172, 262/957

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 90/26,81/172,262/957

Given numbers are 90/26,81/172,262/957

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 90,81,262

Least Common Multiple of Numerators i.e. LCM of 90,81,262 is 106110.

GCF of Denominators means GCF of 26,172,957 as per the given fractions.

GCF of 26,172,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,81,262

LCM of Fractions 90/26,81/172,262/957 is 106110

2 90, 81, 262
3 45, 81, 131
3 15, 27, 131
5, 9, 131

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 131 = 106110

Least Common Multiple of 90,81,262 with GCF Formula

Least Common Multiple of 90,81,262 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 90,81,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,81,262) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,81,262) x common factors =1 x 18 = 18

LCM(90,81,262) = ( 90 × 81 × 262 ) / 18

LCM(90,81,262) = 1909980 / 18

LCM(90,81,262) = 106110


Lets's calculate GCF of 26,172,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106110/1

Therefore the LCM of Fractions 90/26,81/172,262/957 is 106110

Greatest Common Factor of 26,172,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,172,957 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 26,172,957 . The biggest common factor number is the GCF number.
So the greatest common factor 26,172,957 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 90/26, 81/172, 262/957

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 90/26, 81/172, 262/957?

Answer: LCM of Numerators as per given numbers 90/26, 81/172, 262/957 is

LCM of Numerators i.e. for 90,81,262 is 106110

GCF of denominators i.e. for 26,172,957 is 1.

Thus, LCM of Fractions is 106110.Finally, LCM of Fractions for 90/26, 81/172, 262/957 is 106110.