Least Common Multiple of 933/974, 7593/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 933/974, 7593/676 quickly i.e. 2361423/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/974, 7593/676 is 2361423/2.

LCM(933/974, 7593/676) = 2361423/2

LCM of 933/974, 7593/676

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 933/974,7593/676

Given numbers are 933/974,7593/676

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 933,7593

Least Common Multiple of Numerators i.e. LCM of 933,7593 is 2361423.

GCF of Denominators means GCF of 974,676 as per the given fractions.

GCF of 974,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,7593

LCM of Fractions 933/974,7593/676 is 2361423/2

3 933, 7593
311, 2531

∴ So the LCM of the given numbers is 3 x 311 x 2531 = 2361423

Least Common Multiple of 933,7593 with GCF Formula

Least Common Multiple of 933,7593 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 933,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,7593) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(933,7593) x common factors =3 x 1 = 3

LCM(933,7593) = ( 933 × 7593 ) / 3

LCM(933,7593) = 7084269 / 3

LCM(933,7593) = 2361423


Lets's calculate GCF of 974,676

2 974, 676
487, 338

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2361423/2

Therefore the LCM of Fractions 933/974,7593/676 is 2361423/2

Greatest Common Factor of 974,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,676 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 974,676 . The biggest common factor number is the GCF number.
So the greatest common factor 974,676 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 933/974, 7593/676

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 933/974, 7593/676?

Answer: LCM of Numerators as per given numbers 933/974, 7593/676 is

LCM of Numerators i.e. for 933,7593 is 2361423

GCF of denominators i.e. for 974,676 is 2.

Thus, LCM of Fractions is 2361423/2.Finally, LCM of Fractions for 933/974, 7593/676 is 2361423/2.