Least Common Multiple of 438/795, 528/613, 875/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/795, 528/613, 875/101 quickly i.e. 33726000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/795, 528/613, 875/101 is 33726000.

LCM(438/795, 528/613, 875/101) = 33726000

LCM of 438/795, 528/613, 875/101

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 438/795,528/613,875/101

Given numbers are 438/795,528/613,875/101

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 438,528,875

Least Common Multiple of Numerators i.e. LCM of 438,528,875 is 33726000.

GCF of Denominators means GCF of 795,613,101 as per the given fractions.

GCF of 795,613,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,528,875

LCM of Fractions 438/795,528/613,875/101 is 33726000

2 438, 528, 875
3 219, 264, 875
73, 88, 875

∴ So the LCM of the given numbers is 2 x 3 x 73 x 88 x 875 = 33726000

Least Common Multiple of 438,528,875 with GCF Formula

Least Common Multiple of 438,528,875 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 438,528,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,528,875) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,528,875) x common factors =1 x 6 = 6

LCM(438,528,875) = ( 438 × 528 × 875 ) / 6

LCM(438,528,875) = 202356000 / 6

LCM(438,528,875) = 33726000


Lets's calculate GCF of 795,613,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33726000/1

Therefore the LCM of Fractions 438/795,528/613,875/101 is 33726000

Greatest Common Factor of 795,613,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,613,101 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 795,613,101 . The biggest common factor number is the GCF number.
So the greatest common factor 795,613,101 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 438/795, 528/613, 875/101

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 438/795, 528/613, 875/101?

Answer: LCM of Numerators as per given numbers 438/795, 528/613, 875/101 is

LCM of Numerators i.e. for 438,528,875 is 33726000

GCF of denominators i.e. for 795,613,101 is 1.

Thus, LCM of Fractions is 33726000.Finally, LCM of Fractions for 438/795, 528/613, 875/101 is 33726000.