Least Common Multiple of 90/73, 26/817, 338/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/73, 26/817, 338/134 quickly i.e. 15210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/73, 26/817, 338/134 is 15210.

LCM(90/73, 26/817, 338/134) = 15210

LCM of 90/73, 26/817, 338/134

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 90/73,26/817,338/134

Given numbers are 90/73,26/817,338/134

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 90,26,338

Least Common Multiple of Numerators i.e. LCM of 90,26,338 is 15210.

GCF of Denominators means GCF of 73,817,134 as per the given fractions.

GCF of 73,817,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,26,338

LCM of Fractions 90/73,26/817,338/134 is 15210

2 90, 26, 338
13 45, 13, 169
45, 1, 13

∴ So the LCM of the given numbers is 2 x 13 x 45 x 1 x 13 = 15210

Least Common Multiple of 90,26,338 with GCF Formula

Least Common Multiple of 90,26,338 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 90,26,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,26,338) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(90,26,338) x common factors =2 x 26 = 52

LCM(90,26,338) = ( 90 × 26 × 338 ) / 52

LCM(90,26,338) = 790920 / 52

LCM(90,26,338) = 15210


Lets's calculate GCF of 73,817,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15210/1

Therefore the LCM of Fractions 90/73,26/817,338/134 is 15210

Greatest Common Factor of 73,817,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,817,134 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 73,817,134 . The biggest common factor number is the GCF number.
So the greatest common factor 73,817,134 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 90/73, 26/817, 338/134

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 90/73, 26/817, 338/134?

Answer: LCM of Numerators as per given numbers 90/73, 26/817, 338/134 is

LCM of Numerators i.e. for 90,26,338 is 15210

GCF of denominators i.e. for 73,817,134 is 1.

Thus, LCM of Fractions is 15210.Finally, LCM of Fractions for 90/73, 26/817, 338/134 is 15210.