Least Common Multiple of 90/595, 75/835, 279/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/595, 75/835, 279/332 quickly i.e. 13950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/595, 75/835, 279/332 is 13950.

LCM(90/595, 75/835, 279/332) = 13950

LCM of 90/595, 75/835, 279/332

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 90/595,75/835,279/332

Given numbers are 90/595,75/835,279/332

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 90,75,279

Least Common Multiple of Numerators i.e. LCM of 90,75,279 is 13950.

GCF of Denominators means GCF of 595,835,332 as per the given fractions.

GCF of 595,835,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,75,279

LCM of Fractions 90/595,75/835,279/332 is 13950

3 90, 75, 279
3 30, 25, 93
5 10, 25, 31
2, 5, 31

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 5 x 31 = 13950

Least Common Multiple of 90,75,279 with GCF Formula

Least Common Multiple of 90,75,279 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 90,75,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,75,279) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(90,75,279) x common factors =3 x 45 = 135

LCM(90,75,279) = ( 90 × 75 × 279 ) / 135

LCM(90,75,279) = 1883250 / 135

LCM(90,75,279) = 13950


Lets's calculate GCF of 595,835,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13950/1

Therefore the LCM of Fractions 90/595,75/835,279/332 is 13950

Greatest Common Factor of 595,835,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,835,332 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 595,835,332 . The biggest common factor number is the GCF number.
So the greatest common factor 595,835,332 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 90/595, 75/835, 279/332

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 90/595, 75/835, 279/332?

Answer: LCM of Numerators as per given numbers 90/595, 75/835, 279/332 is

LCM of Numerators i.e. for 90,75,279 is 13950

GCF of denominators i.e. for 595,835,332 is 1.

Thus, LCM of Fractions is 13950.Finally, LCM of Fractions for 90/595, 75/835, 279/332 is 13950.