Least Common Multiple of 73/20, 64/35, 77/88, 78/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/20, 64/35, 77/88, 78/996 quickly i.e. 14030016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/20, 64/35, 77/88, 78/996 is 14030016.

LCM(73/20, 64/35, 77/88, 78/996) = 14030016

LCM of 73/20, 64/35, 77/88, 78/996

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 73/20,64/35,77/88,78/996

Given numbers are 73/20,64/35,77/88,78/996

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 73,64,77,78

Least Common Multiple of Numerators i.e. LCM of 73,64,77,78 is 14030016.

GCF of Denominators means GCF of 20,35,88,996 as per the given fractions.

GCF of 20,35,88,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,64,77,78

LCM of Fractions 73/20,64/35,77/88,78/996 is 14030016

2 73, 64, 77, 78
73, 32, 77, 39

∴ So the LCM of the given numbers is 2 x 73 x 32 x 77 x 39 = 14030016

Least Common Multiple of 73,64,77,78 with GCF Formula

Least Common Multiple of 73,64,77,78 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 73,64,77,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,64,77,78) = 1

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

GCF(73,64,77,78) x common factors =1 x 2 = 2

LCM(73,64,77,78) = ( 73 × 64 × 77 × 78 ) / 2

LCM(73,64,77,78) = 28060032 / 2

LCM(73,64,77,78) = 14030016


Lets's calculate GCF of 20,35,88,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14030016/1

Therefore the LCM of Fractions 73/20,64/35,77/88,78/996 is 14030016

Greatest Common Factor of 20,35,88,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,35,88,996 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 20,35,88,996 . The biggest common factor number is the GCF number.
So the greatest common factor 20,35,88,996 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 73/20, 64/35, 77/88, 78/996

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 73/20, 64/35, 77/88, 78/996?

Answer: LCM of Numerators as per given numbers 73/20, 64/35, 77/88, 78/996 is

LCM of Numerators i.e. for 73,64,77,78 is 14030016

GCF of denominators i.e. for 20,35,88,996 is 1.

Thus, LCM of Fractions is 14030016.Finally, LCM of Fractions for 73/20, 64/35, 77/88, 78/996 is 14030016.