Least Common Multiple of 90/924, 519/432, 963/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/924, 519/432, 963/654 quickly i.e. 277665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/924, 519/432, 963/654 is 277665.

LCM(90/924, 519/432, 963/654) = 277665

LCM of 90/924, 519/432, 963/654

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 90/924,519/432,963/654

Given numbers are 90/924,519/432,963/654

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 90,519,963

Least Common Multiple of Numerators i.e. LCM of 90,519,963 is 1665990.

GCF of Denominators means GCF of 924,432,654 as per the given fractions.

GCF of 924,432,654 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,519,963

LCM of Fractions 90/924,519/432,963/654 is 277665

3 90, 519, 963
3 30, 173, 321
10, 173, 107

∴ So the LCM of the given numbers is 3 x 3 x 10 x 173 x 107 = 1665990

Least Common Multiple of 90,519,963 with GCF Formula

Least Common Multiple of 90,519,963 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 90,519,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,519,963) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(90,519,963) x common factors =3 x 9 = 27

LCM(90,519,963) = ( 90 × 519 × 963 ) / 27

LCM(90,519,963) = 44981730 / 27

LCM(90,519,963) = 1665990


Lets's calculate GCF of 924,432,654

2 924, 432, 654
3 462, 216, 327
154, 72, 109

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1665990/6

Therefore the LCM of Fractions 90/924,519/432,963/654 is 277665

Greatest Common Factor of 924,432,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,432,654 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 924,432,654 . The biggest common factor number is the GCF number.
So the greatest common factor 924,432,654 is 6.


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 90/924, 519/432, 963/654

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 90/924, 519/432, 963/654?

Answer: LCM of Numerators as per given numbers 90/924, 519/432, 963/654 is

LCM of Numerators i.e. for 90,519,963 is 1665990

GCF of denominators i.e. for 924,432,654 is 6.

Thus, LCM of Fractions is 277665.Finally, LCM of Fractions for 90/924, 519/432, 963/654 is 277665.