Least Common Multiple of 795/36, 965/42, 608/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/36, 965/42, 608/501 quickly i.e. 31096160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/36, 965/42, 608/501 is 31096160.

LCM(795/36, 965/42, 608/501) = 31096160

LCM of 795/36, 965/42, 608/501

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 795/36,965/42,608/501

Given numbers are 795/36,965/42,608/501

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 795,965,608

Least Common Multiple of Numerators i.e. LCM of 795,965,608 is 93288480.

GCF of Denominators means GCF of 36,42,501 as per the given fractions.

GCF of 36,42,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,965,608

LCM of Fractions 795/36,965/42,608/501 is 31096160

5 795, 965, 608
159, 193, 608

∴ So the LCM of the given numbers is 5 x 159 x 193 x 608 = 93288480

Least Common Multiple of 795,965,608 with GCF Formula

Least Common Multiple of 795,965,608 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 795,965,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,965,608) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(795,965,608) x common factors =1 x 5 = 5

LCM(795,965,608) = ( 795 × 965 × 608 ) / 5

LCM(795,965,608) = 466442400 / 5

LCM(795,965,608) = 93288480


Lets's calculate GCF of 36,42,501

3 36, 42, 501
12, 14, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93288480/3

Therefore the LCM of Fractions 795/36,965/42,608/501 is 31096160

Greatest Common Factor of 36,42,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,42,501 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 36,42,501 . The biggest common factor number is the GCF number.
So the greatest common factor 36,42,501 is 3.


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 795/36, 965/42, 608/501

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 795/36, 965/42, 608/501?

Answer: LCM of Numerators as per given numbers 795/36, 965/42, 608/501 is

LCM of Numerators i.e. for 795,965,608 is 93288480

GCF of denominators i.e. for 36,42,501 is 3.

Thus, LCM of Fractions is 31096160.Finally, LCM of Fractions for 795/36, 965/42, 608/501 is 31096160.