Least Common Multiple of 915/51, 965/82, 271/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 915/51, 965/82, 271/10 quickly i.e. 47857245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/51, 965/82, 271/10 is 47857245.

LCM(915/51, 965/82, 271/10) = 47857245

LCM of 915/51, 965/82, 271/10

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 915/51,965/82,271/10

Given numbers are 915/51,965/82,271/10

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 915,965,271

Least Common Multiple of Numerators i.e. LCM of 915,965,271 is 47857245.

GCF of Denominators means GCF of 51,82,10 as per the given fractions.

GCF of 51,82,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,965,271

LCM of Fractions 915/51,965/82,271/10 is 47857245

5 915, 965, 271
183, 193, 271

∴ So the LCM of the given numbers is 5 x 183 x 193 x 271 = 47857245

Least Common Multiple of 915,965,271 with GCF Formula

Least Common Multiple of 915,965,271 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 915,965,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,965,271) = 1

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

GCF(915,965,271) x common factors =1 x 5 = 5

LCM(915,965,271) = ( 915 × 965 × 271 ) / 5

LCM(915,965,271) = 239286225 / 5

LCM(915,965,271) = 47857245


Lets's calculate GCF of 51,82,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47857245/1

Therefore the LCM of Fractions 915/51,965/82,271/10 is 47857245

Greatest Common Factor of 51,82,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,82,10 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 51,82,10 . The biggest common factor number is the GCF number.
So the greatest common factor 51,82,10 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 915/51, 965/82, 271/10

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 915/51, 965/82, 271/10?

Answer: LCM of Numerators as per given numbers 915/51, 965/82, 271/10 is

LCM of Numerators i.e. for 915,965,271 is 47857245

GCF of denominators i.e. for 51,82,10 is 1.

Thus, LCM of Fractions is 47857245.Finally, LCM of Fractions for 915/51, 965/82, 271/10 is 47857245.