Least Common Multiple of 90/75, 74/50, 69/60, 52/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/75, 74/50, 69/60, 52/138 quickly i.e. 1991340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/75, 74/50, 69/60, 52/138 is 1991340.

LCM(90/75, 74/50, 69/60, 52/138) = 1991340

LCM of 90/75, 74/50, 69/60, 52/138

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 90/75,74/50,69/60,52/138

Given numbers are 90/75,74/50,69/60,52/138

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 90,74,69,52

Least Common Multiple of Numerators i.e. LCM of 90,74,69,52 is 1991340.

GCF of Denominators means GCF of 75,50,60,138 as per the given fractions.

GCF of 75,50,60,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,74,69,52

LCM of Fractions 90/75,74/50,69/60,52/138 is 1991340

2 90, 74, 69, 52
3 45, 37, 69, 26
15, 37, 23, 26

∴ So the LCM of the given numbers is 2 x 3 x 15 x 37 x 23 x 26 = 1991340

Least Common Multiple of 90,74,69,52 with GCF Formula

Least Common Multiple of 90,74,69,52 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 90,74,69,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,74,69,52) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(90,74,69,52) x common factors =1 x 12 = 12

LCM(90,74,69,52) = ( 90 × 74 × 69 × 52 ) / 12

LCM(90,74,69,52) = 23896080 / 12

LCM(90,74,69,52) = 1991340


Lets's calculate GCF of 75,50,60,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1991340/1

Therefore the LCM of Fractions 90/75,74/50,69/60,52/138 is 1991340

Greatest Common Factor of 75,50,60,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,50,60,138 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 75,50,60,138 . The biggest common factor number is the GCF number.
So the greatest common factor 75,50,60,138 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 90/75, 74/50, 69/60, 52/138

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 90/75, 74/50, 69/60, 52/138?

Answer: LCM of Numerators as per given numbers 90/75, 74/50, 69/60, 52/138 is

LCM of Numerators i.e. for 90,74,69,52 is 1991340

GCF of denominators i.e. for 75,50,60,138 is 1.

Thus, LCM of Fractions is 1991340.Finally, LCM of Fractions for 90/75, 74/50, 69/60, 52/138 is 1991340.