Least Common Multiple of 66/924, 93/418, 558/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/924, 93/418, 558/983 quickly i.e. 6138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/924, 93/418, 558/983 is 6138.

LCM(66/924, 93/418, 558/983) = 6138

LCM of 66/924, 93/418, 558/983

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 66/924,93/418,558/983

Given numbers are 66/924,93/418,558/983

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 66,93,558

Least Common Multiple of Numerators i.e. LCM of 66,93,558 is 6138.

GCF of Denominators means GCF of 924,418,983 as per the given fractions.

GCF of 924,418,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,93,558

LCM of Fractions 66/924,93/418,558/983 is 6138

2 66, 93, 558
3 33, 93, 279
31 11, 31, 93
11, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 31 x 11 x 1 x 3 = 6138

Least Common Multiple of 66,93,558 with GCF Formula

Least Common Multiple of 66,93,558 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 66,93,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,93,558) = 3

common factors(in case of two or more numbers have common factors) = 186

GCF(66,93,558) x common factors =3 x 186 = 558

LCM(66,93,558) = ( 66 × 93 × 558 ) / 558

LCM(66,93,558) = 3425004 / 558

LCM(66,93,558) = 6138


Lets's calculate GCF of 924,418,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6138/1

Therefore the LCM of Fractions 66/924,93/418,558/983 is 6138

Greatest Common Factor of 924,418,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,418,983 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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 924,418,983 . The biggest common factor number is the GCF number.
So the greatest common factor 924,418,983 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 66/924, 93/418, 558/983

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 66/924, 93/418, 558/983?

Answer: LCM of Numerators as per given numbers 66/924, 93/418, 558/983 is

LCM of Numerators i.e. for 66,93,558 is 6138

GCF of denominators i.e. for 924,418,983 is 1.

Thus, LCM of Fractions is 6138.Finally, LCM of Fractions for 66/924, 93/418, 558/983 is 6138.