Least Common Multiple of 135/510, 7351/9739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/510, 7351/9739 quickly i.e. 992385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/510, 7351/9739 is 992385.

LCM(135/510, 7351/9739) = 992385

LCM of 135/510, 7351/9739

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 135/510,7351/9739

Given numbers are 135/510,7351/9739

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 135,7351

Least Common Multiple of Numerators i.e. LCM of 135,7351 is 992385.

GCF of Denominators means GCF of 510,9739 as per the given fractions.

GCF of 510,9739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,7351

LCM of Fractions 135/510,7351/9739 is 992385

Given numbers has no common factors except 1. So, there LCM is their product i.e 992385

Least Common Multiple of 135,7351 with GCF Formula

Least Common Multiple of 135,7351 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 135,7351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,7351) = 1

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

GCF(135,7351) x common factors =1 x 1 = 1

LCM(135,7351) = ( 135 × 7351 ) / 1

LCM(135,7351) = 992385 / 1

LCM(135,7351) = 992385


Lets's calculate GCF of 510,9739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 992385/1

Therefore the LCM of Fractions 135/510,7351/9739 is 992385

Greatest Common Factor of 510,9739 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,9739 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1,9739

Greatest Common Factor

We found the factors 510,9739 . The biggest common factor number is the GCF number.
So the greatest common factor 510,9739 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 135/510, 7351/9739

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 135/510, 7351/9739?

Answer: LCM of Numerators as per given numbers 135/510, 7351/9739 is

LCM of Numerators i.e. for 135,7351 is 992385

GCF of denominators i.e. for 510,9739 is 1.

Thus, LCM of Fractions is 992385.Finally, LCM of Fractions for 135/510, 7351/9739 is 992385.