Least Common Multiple of 30/39, 75/851, 275/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/39, 75/851, 275/866 quickly i.e. 1650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/39, 75/851, 275/866 is 1650.

LCM(30/39, 75/851, 275/866) = 1650

LCM of 30/39, 75/851, 275/866

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 30/39,75/851,275/866

Given numbers are 30/39,75/851,275/866

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 30,75,275

Least Common Multiple of Numerators i.e. LCM of 30,75,275 is 1650.

GCF of Denominators means GCF of 39,851,866 as per the given fractions.

GCF of 39,851,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,75,275

LCM of Fractions 30/39,75/851,275/866 is 1650

3 30, 75, 275
5 10, 25, 275
5 2, 5, 55
2, 1, 11

∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 1 x 11 = 1650

Least Common Multiple of 30,75,275 with GCF Formula

Least Common Multiple of 30,75,275 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 30,75,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,75,275) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(30,75,275) x common factors =5 x 75 = 375

LCM(30,75,275) = ( 30 × 75 × 275 ) / 375

LCM(30,75,275) = 618750 / 375

LCM(30,75,275) = 1650


Lets's calculate GCF of 39,851,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1650/1

Therefore the LCM of Fractions 30/39,75/851,275/866 is 1650

Greatest Common Factor of 39,851,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,851,866 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 39,851,866 . The biggest common factor number is the GCF number.
So the greatest common factor 39,851,866 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 30/39, 75/851, 275/866

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 30/39, 75/851, 275/866?

Answer: LCM of Numerators as per given numbers 30/39, 75/851, 275/866 is

LCM of Numerators i.e. for 30,75,275 is 1650

GCF of denominators i.e. for 39,851,866 is 1.

Thus, LCM of Fractions is 1650.Finally, LCM of Fractions for 30/39, 75/851, 275/866 is 1650.