Least Common Multiple of 827/38, 528/40, 971/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/38, 528/40, 971/135 quickly i.e. 423992976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/38, 528/40, 971/135 is 423992976.

LCM(827/38, 528/40, 971/135) = 423992976

LCM of 827/38, 528/40, 971/135

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 827/38,528/40,971/135

Given numbers are 827/38,528/40,971/135

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 827,528,971

Least Common Multiple of Numerators i.e. LCM of 827,528,971 is 423992976.

GCF of Denominators means GCF of 38,40,135 as per the given fractions.

GCF of 38,40,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,528,971

LCM of Fractions 827/38,528/40,971/135 is 423992976

Given numbers has no common factors except 1. So, there LCM is their product i.e 423992976

Least Common Multiple of 827,528,971 with GCF Formula

Least Common Multiple of 827,528,971 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 827,528,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,528,971) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(827,528,971) x common factors =1 x 1 = 1

LCM(827,528,971) = ( 827 × 528 × 971 ) / 1

LCM(827,528,971) = 423992976 / 1

LCM(827,528,971) = 423992976


Lets's calculate GCF of 38,40,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423992976/1

Therefore the LCM of Fractions 827/38,528/40,971/135 is 423992976

Greatest Common Factor of 38,40,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,40,135 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 38,40,135 . The biggest common factor number is the GCF number.
So the greatest common factor 38,40,135 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 827/38, 528/40, 971/135

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 827/38, 528/40, 971/135?

Answer: LCM of Numerators as per given numbers 827/38, 528/40, 971/135 is

LCM of Numerators i.e. for 827,528,971 is 423992976

GCF of denominators i.e. for 38,40,135 is 1.

Thus, LCM of Fractions is 423992976.Finally, LCM of Fractions for 827/38, 528/40, 971/135 is 423992976.