Least Common Multiple of 41/68, 35/50, 73/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/68, 35/50, 73/956 quickly i.e. 104755/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/68, 35/50, 73/956 is 104755/2.

LCM(41/68, 35/50, 73/956) = 104755/2

LCM of 41/68, 35/50, 73/956

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 41/68,35/50,73/956

Given numbers are 41/68,35/50,73/956

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 41,35,73

Least Common Multiple of Numerators i.e. LCM of 41,35,73 is 104755.

GCF of Denominators means GCF of 68,50,956 as per the given fractions.

GCF of 68,50,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,35,73

LCM of Fractions 41/68,35/50,73/956 is 104755/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 104755

Least Common Multiple of 41,35,73 with GCF Formula

Least Common Multiple of 41,35,73 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 41,35,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,35,73) = 1

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

GCF(41,35,73) x common factors =1 x 1 = 1

LCM(41,35,73) = ( 41 × 35 × 73 ) / 1

LCM(41,35,73) = 104755 / 1

LCM(41,35,73) = 104755


Lets's calculate GCF of 68,50,956

2 68, 50, 956
34, 25, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104755/2

Therefore the LCM of Fractions 41/68,35/50,73/956 is 104755/2

Greatest Common Factor of 68,50,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,50,956 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 50

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

1,2,5,10,25,50

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 68,50,956 . The biggest common factor number is the GCF number.
So the greatest common factor 68,50,956 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/68, 35/50, 73/956

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 41/68, 35/50, 73/956?

Answer: LCM of Numerators as per given numbers 41/68, 35/50, 73/956 is

LCM of Numerators i.e. for 41,35,73 is 104755

GCF of denominators i.e. for 68,50,956 is 2.

Thus, LCM of Fractions is 104755/2.Finally, LCM of Fractions for 41/68, 35/50, 73/956 is 104755/2.