Least Common Multiple of 78/94, 25/15, 79/66, 32/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/94, 25/15, 79/66, 32/253 quickly i.e. 2464800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/94, 25/15, 79/66, 32/253 is 2464800.

LCM(78/94, 25/15, 79/66, 32/253) = 2464800

LCM of 78/94, 25/15, 79/66, 32/253

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 78/94,25/15,79/66,32/253

Given numbers are 78/94,25/15,79/66,32/253

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 78,25,79,32

Least Common Multiple of Numerators i.e. LCM of 78,25,79,32 is 2464800.

GCF of Denominators means GCF of 94,15,66,253 as per the given fractions.

GCF of 94,15,66,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,25,79,32

LCM of Fractions 78/94,25/15,79/66,32/253 is 2464800

2 78, 25, 79, 32
39, 25, 79, 16

∴ So the LCM of the given numbers is 2 x 39 x 25 x 79 x 16 = 2464800

Least Common Multiple of 78,25,79,32 with GCF Formula

Least Common Multiple of 78,25,79,32 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 78,25,79,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,25,79,32) = 1

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

GCF(78,25,79,32) x common factors =1 x 2 = 2

LCM(78,25,79,32) = ( 78 × 25 × 79 × 32 ) / 2

LCM(78,25,79,32) = 4929600 / 2

LCM(78,25,79,32) = 2464800


Lets's calculate GCF of 94,15,66,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2464800/1

Therefore the LCM of Fractions 78/94,25/15,79/66,32/253 is 2464800

Greatest Common Factor of 94,15,66,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,15,66,253 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 94,15,66,253 . The biggest common factor number is the GCF number.
So the greatest common factor 94,15,66,253 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 78/94, 25/15, 79/66, 32/253

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 78/94, 25/15, 79/66, 32/253?

Answer: LCM of Numerators as per given numbers 78/94, 25/15, 79/66, 32/253 is

LCM of Numerators i.e. for 78,25,79,32 is 2464800

GCF of denominators i.e. for 94,15,66,253 is 1.

Thus, LCM of Fractions is 2464800.Finally, LCM of Fractions for 78/94, 25/15, 79/66, 32/253 is 2464800.