Least Common Multiple of 73/52, 50/15, 78/56, 68/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/52, 50/15, 78/56, 68/698 quickly i.e. 4839900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/52, 50/15, 78/56, 68/698 is 4839900.

LCM(73/52, 50/15, 78/56, 68/698) = 4839900

LCM of 73/52, 50/15, 78/56, 68/698

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 73/52,50/15,78/56,68/698

Given numbers are 73/52,50/15,78/56,68/698

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 73,50,78,68

Least Common Multiple of Numerators i.e. LCM of 73,50,78,68 is 4839900.

GCF of Denominators means GCF of 52,15,56,698 as per the given fractions.

GCF of 52,15,56,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,50,78,68

LCM of Fractions 73/52,50/15,78/56,68/698 is 4839900

2 73, 50, 78, 68
73, 25, 39, 34

∴ So the LCM of the given numbers is 2 x 73 x 25 x 39 x 34 = 4839900

Least Common Multiple of 73,50,78,68 with GCF Formula

Least Common Multiple of 73,50,78,68 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 73,50,78,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,50,78,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,50,78,68) x common factors =1 x 4 = 4

LCM(73,50,78,68) = ( 73 × 50 × 78 × 68 ) / 4

LCM(73,50,78,68) = 19359600 / 4

LCM(73,50,78,68) = 4839900


Lets's calculate GCF of 52,15,56,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4839900/1

Therefore the LCM of Fractions 73/52,50/15,78/56,68/698 is 4839900

Greatest Common Factor of 52,15,56,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,15,56,698 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 15

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

1,3,5,15

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 52,15,56,698 . The biggest common factor number is the GCF number.
So the greatest common factor 52,15,56,698 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 73/52, 50/15, 78/56, 68/698

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 73/52, 50/15, 78/56, 68/698?

Answer: LCM of Numerators as per given numbers 73/52, 50/15, 78/56, 68/698 is

LCM of Numerators i.e. for 73,50,78,68 is 4839900

GCF of denominators i.e. for 52,15,56,698 is 1.

Thus, LCM of Fractions is 4839900.Finally, LCM of Fractions for 73/52, 50/15, 78/56, 68/698 is 4839900.