Least Common Multiple of 94/50, 76/78, 95/66, 58/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/50, 76/78, 95/66, 58/896 quickly i.e. 258970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/50, 76/78, 95/66, 58/896 is 258970.

LCM(94/50, 76/78, 95/66, 58/896) = 258970

LCM of 94/50, 76/78, 95/66, 58/896

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 94/50,76/78,95/66,58/896

Given numbers are 94/50,76/78,95/66,58/896

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 94,76,95,58

Least Common Multiple of Numerators i.e. LCM of 94,76,95,58 is 517940.

GCF of Denominators means GCF of 50,78,66,896 as per the given fractions.

GCF of 50,78,66,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,76,95,58

LCM of Fractions 94/50,76/78,95/66,58/896 is 258970

2 94, 76, 95, 58
19 47, 38, 95, 29
47, 2, 5, 29

∴ So the LCM of the given numbers is 2 x 19 x 47 x 2 x 5 x 29 = 517940

Least Common Multiple of 94,76,95,58 with GCF Formula

Least Common Multiple of 94,76,95,58 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 94,76,95,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,76,95,58) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(94,76,95,58) x common factors =1 x 76 = 76

LCM(94,76,95,58) = ( 94 × 76 × 95 × 58 ) / 76

LCM(94,76,95,58) = 39363440 / 76

LCM(94,76,95,58) = 517940


Lets's calculate GCF of 50,78,66,896

2 50, 78, 66, 896
25, 39, 33, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517940/2

Therefore the LCM of Fractions 94/50,76/78,95/66,58/896 is 258970

Greatest Common Factor of 50,78,66,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,78,66,896 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 50,78,66,896 . The biggest common factor number is the GCF number.
So the greatest common factor 50,78,66,896 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/50, 76/78, 95/66, 58/896

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 94/50, 76/78, 95/66, 58/896?

Answer: LCM of Numerators as per given numbers 94/50, 76/78, 95/66, 58/896 is

LCM of Numerators i.e. for 94,76,95,58 is 517940

GCF of denominators i.e. for 50,78,66,896 is 2.

Thus, LCM of Fractions is 258970.Finally, LCM of Fractions for 94/50, 76/78, 95/66, 58/896 is 258970.