Least Common Multiple of 90/15, 21/693, 479/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/15, 21/693, 479/876 quickly i.e. 100590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/15, 21/693, 479/876 is 100590.

LCM(90/15, 21/693, 479/876) = 100590

LCM of 90/15, 21/693, 479/876

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 90/15,21/693,479/876

Given numbers are 90/15,21/693,479/876

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 90,21,479

Least Common Multiple of Numerators i.e. LCM of 90,21,479 is 301770.

GCF of Denominators means GCF of 15,693,876 as per the given fractions.

GCF of 15,693,876 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,21,479

LCM of Fractions 90/15,21/693,479/876 is 100590

3 90, 21, 479
30, 7, 479

∴ So the LCM of the given numbers is 3 x 30 x 7 x 479 = 301770

Least Common Multiple of 90,21,479 with GCF Formula

Least Common Multiple of 90,21,479 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 90,21,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,21,479) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(90,21,479) x common factors =1 x 3 = 3

LCM(90,21,479) = ( 90 × 21 × 479 ) / 3

LCM(90,21,479) = 905310 / 3

LCM(90,21,479) = 301770


Lets's calculate GCF of 15,693,876

3 15, 693, 876
5, 231, 292

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301770/3

Therefore the LCM of Fractions 90/15,21/693,479/876 is 100590

Greatest Common Factor of 15,693,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,693,876 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 15,693,876 . The biggest common factor number is the GCF number.
So the greatest common factor 15,693,876 is 3.


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 90/15, 21/693, 479/876

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 90/15, 21/693, 479/876?

Answer: LCM of Numerators as per given numbers 90/15, 21/693, 479/876 is

LCM of Numerators i.e. for 90,21,479 is 301770

GCF of denominators i.e. for 15,693,876 is 3.

Thus, LCM of Fractions is 100590.Finally, LCM of Fractions for 90/15, 21/693, 479/876 is 100590.