Least Common Multiple of 660/94, 354/7792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 660/94, 354/7792 quickly i.e. 19470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/94, 354/7792 is 19470.

LCM(660/94, 354/7792) = 19470

LCM of 660/94, 354/7792

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 660/94,354/7792

Given numbers are 660/94,354/7792

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 660,354

Least Common Multiple of Numerators i.e. LCM of 660,354 is 38940.

GCF of Denominators means GCF of 94,7792 as per the given fractions.

GCF of 94,7792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,354

LCM of Fractions 660/94,354/7792 is 19470

2 660, 354
3 330, 177
110, 59

∴ So the LCM of the given numbers is 2 x 3 x 110 x 59 = 38940

Least Common Multiple of 660,354 with GCF Formula

Least Common Multiple of 660,354 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 660,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,354) = 6

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

GCF(660,354) x common factors =6 x 1 = 6

LCM(660,354) = ( 660 × 354 ) / 6

LCM(660,354) = 233640 / 6

LCM(660,354) = 38940


Lets's calculate GCF of 94,7792

2 94, 7792
47, 3896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38940/2

Therefore the LCM of Fractions 660/94,354/7792 is 19470

Greatest Common Factor of 94,7792 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,7792 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

Greatest Common Factor

We found the factors 94,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 94,7792 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 660/94, 354/7792

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 660/94, 354/7792?

Answer: LCM of Numerators as per given numbers 660/94, 354/7792 is

LCM of Numerators i.e. for 660,354 is 38940

GCF of denominators i.e. for 94,7792 is 2.

Thus, LCM of Fractions is 19470.Finally, LCM of Fractions for 660/94, 354/7792 is 19470.