Least Common Multiple of 65/125, 3716/9749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/125, 3716/9749 quickly i.e. 241540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/125, 3716/9749 is 241540.

LCM(65/125, 3716/9749) = 241540

LCM of 65/125, 3716/9749

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 65/125,3716/9749

Given numbers are 65/125,3716/9749

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 65,3716

Least Common Multiple of Numerators i.e. LCM of 65,3716 is 241540.

GCF of Denominators means GCF of 125,9749 as per the given fractions.

GCF of 125,9749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,3716

LCM of Fractions 65/125,3716/9749 is 241540

Given numbers has no common factors except 1. So, there LCM is their product i.e 241540

Least Common Multiple of 65,3716 with GCF Formula

Least Common Multiple of 65,3716 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 65,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,3716) = 1

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

GCF(65,3716) x common factors =1 x 1 = 1

LCM(65,3716) = ( 65 × 3716 ) / 1

LCM(65,3716) = 241540 / 1

LCM(65,3716) = 241540


Lets's calculate GCF of 125,9749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241540/1

Therefore the LCM of Fractions 65/125,3716/9749 is 241540

Greatest Common Factor of 125,9749 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,9749 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1,9749

Greatest Common Factor

We found the factors 125,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 125,9749 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 65/125, 3716/9749

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 65/125, 3716/9749?

Answer: LCM of Numerators as per given numbers 65/125, 3716/9749 is

LCM of Numerators i.e. for 65,3716 is 241540

GCF of denominators i.e. for 125,9749 is 1.

Thus, LCM of Fractions is 241540.Finally, LCM of Fractions for 65/125, 3716/9749 is 241540.