Least Common Multiple of 17/138, 741/726, 640/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/138, 741/726, 640/875 quickly i.e. 8062080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/138, 741/726, 640/875 is 8062080.

LCM(17/138, 741/726, 640/875) = 8062080

LCM of 17/138, 741/726, 640/875

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 17/138,741/726,640/875

Given numbers are 17/138,741/726,640/875

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 17,741,640

Least Common Multiple of Numerators i.e. LCM of 17,741,640 is 8062080.

GCF of Denominators means GCF of 138,726,875 as per the given fractions.

GCF of 138,726,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,741,640

LCM of Fractions 17/138,741/726,640/875 is 8062080

Given numbers has no common factors except 1. So, there LCM is their product i.e 8062080

Least Common Multiple of 17,741,640 with GCF Formula

Least Common Multiple of 17,741,640 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 17,741,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,741,640) = 1

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

GCF(17,741,640) x common factors =1 x 1 = 1

LCM(17,741,640) = ( 17 × 741 × 640 ) / 1

LCM(17,741,640) = 8062080 / 1

LCM(17,741,640) = 8062080


Lets's calculate GCF of 138,726,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8062080/1

Therefore the LCM of Fractions 17/138,741/726,640/875 is 8062080

Greatest Common Factor of 138,726,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,726,875 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 138,726,875 . The biggest common factor number is the GCF number.
So the greatest common factor 138,726,875 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 17/138, 741/726, 640/875

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 17/138, 741/726, 640/875?

Answer: LCM of Numerators as per given numbers 17/138, 741/726, 640/875 is

LCM of Numerators i.e. for 17,741,640 is 8062080

GCF of denominators i.e. for 138,726,875 is 1.

Thus, LCM of Fractions is 8062080.Finally, LCM of Fractions for 17/138, 741/726, 640/875 is 8062080.