Least Common Multiple of 13/215, 781/985, 766/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/215, 781/985, 766/275 quickly i.e. 7777198/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/215, 781/985, 766/275 is 7777198/5.

LCM(13/215, 781/985, 766/275) = 7777198/5

LCM of 13/215, 781/985, 766/275

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 13/215,781/985,766/275

Given numbers are 13/215,781/985,766/275

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 13,781,766

Least Common Multiple of Numerators i.e. LCM of 13,781,766 is 7777198.

GCF of Denominators means GCF of 215,985,275 as per the given fractions.

GCF of 215,985,275 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,781,766

LCM of Fractions 13/215,781/985,766/275 is 7777198/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 7777198

Least Common Multiple of 13,781,766 with GCF Formula

Least Common Multiple of 13,781,766 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 13,781,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,781,766) = 1

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

GCF(13,781,766) x common factors =1 x 1 = 1

LCM(13,781,766) = ( 13 × 781 × 766 ) / 1

LCM(13,781,766) = 7777198 / 1

LCM(13,781,766) = 7777198


Lets's calculate GCF of 215,985,275

5 215, 985, 275
43, 197, 55

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7777198/5

Therefore the LCM of Fractions 13/215,781/985,766/275 is 7777198/5

Greatest Common Factor of 215,985,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,985,275 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 215,985,275 . The biggest common factor number is the GCF number.
So the greatest common factor 215,985,275 is 5.


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 13/215, 781/985, 766/275

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 13/215, 781/985, 766/275?

Answer: LCM of Numerators as per given numbers 13/215, 781/985, 766/275 is

LCM of Numerators i.e. for 13,781,766 is 7777198

GCF of denominators i.e. for 215,985,275 is 5.

Thus, LCM of Fractions is 7777198/5.Finally, LCM of Fractions for 13/215, 781/985, 766/275 is 7777198/5.