Least Common Multiple of 93/90, 694/96, 364/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/90, 694/96, 364/123 quickly i.e. 3915548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/90, 694/96, 364/123 is 3915548.

LCM(93/90, 694/96, 364/123) = 3915548

LCM of 93/90, 694/96, 364/123

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 93/90,694/96,364/123

Given numbers are 93/90,694/96,364/123

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 93,694,364

Least Common Multiple of Numerators i.e. LCM of 93,694,364 is 11746644.

GCF of Denominators means GCF of 90,96,123 as per the given fractions.

GCF of 90,96,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,694,364

LCM of Fractions 93/90,694/96,364/123 is 3915548

2 93, 694, 364
93, 347, 182

∴ So the LCM of the given numbers is 2 x 93 x 347 x 182 = 11746644

Least Common Multiple of 93,694,364 with GCF Formula

Least Common Multiple of 93,694,364 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 93,694,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,694,364) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(93,694,364) x common factors =1 x 2 = 2

LCM(93,694,364) = ( 93 × 694 × 364 ) / 2

LCM(93,694,364) = 23493288 / 2

LCM(93,694,364) = 11746644


Lets's calculate GCF of 90,96,123

3 90, 96, 123
30, 32, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11746644/3

Therefore the LCM of Fractions 93/90,694/96,364/123 is 3915548

Greatest Common Factor of 90,96,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,123 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 90,96,123 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,123 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 93/90, 694/96, 364/123

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 93/90, 694/96, 364/123?

Answer: LCM of Numerators as per given numbers 93/90, 694/96, 364/123 is

LCM of Numerators i.e. for 93,694,364 is 11746644

GCF of denominators i.e. for 90,96,123 is 3.

Thus, LCM of Fractions is 3915548.Finally, LCM of Fractions for 93/90, 694/96, 364/123 is 3915548.