Least Common Multiple of 40/72, 76/97, 64/42, 40/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/72, 76/97, 64/42, 40/623 quickly i.e. 6080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/72, 76/97, 64/42, 40/623 is 6080.

LCM(40/72, 76/97, 64/42, 40/623) = 6080

LCM of 40/72, 76/97, 64/42, 40/623

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 40/72,76/97,64/42,40/623

Given numbers are 40/72,76/97,64/42,40/623

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 40,76,64,40

Least Common Multiple of Numerators i.e. LCM of 40,76,64,40 is 6080.

GCF of Denominators means GCF of 72,97,42,623 as per the given fractions.

GCF of 72,97,42,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,76,64,40

LCM of Fractions 40/72,76/97,64/42,40/623 is 6080

2 40, 76, 64, 40
2 20, 38, 32, 20
2 10, 19, 16, 10
5 5, 19, 8, 5
1, 19, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 19 x 8 x 1 = 6080

Least Common Multiple of 40,76,64,40 with GCF Formula

Least Common Multiple of 40,76,64,40 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 40,76,64,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,76,64,40) = 4

common factors(in case of two or more numbers have common factors) = 320

GCF(40,76,64,40) x common factors =4 x 320 = 1280

LCM(40,76,64,40) = ( 40 × 76 × 64 × 40 ) / 1280

LCM(40,76,64,40) = 7782400 / 1280

LCM(40,76,64,40) = 6080


Lets's calculate GCF of 72,97,42,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6080/1

Therefore the LCM of Fractions 40/72,76/97,64/42,40/623 is 6080

Greatest Common Factor of 72,97,42,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,97,42,623 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 72,97,42,623 . The biggest common factor number is the GCF number.
So the greatest common factor 72,97,42,623 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 40/72, 76/97, 64/42, 40/623

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 40/72, 76/97, 64/42, 40/623?

Answer: LCM of Numerators as per given numbers 40/72, 76/97, 64/42, 40/623 is

LCM of Numerators i.e. for 40,76,64,40 is 6080

GCF of denominators i.e. for 72,97,42,623 is 1.

Thus, LCM of Fractions is 6080.Finally, LCM of Fractions for 40/72, 76/97, 64/42, 40/623 is 6080.