Least Common Multiple of 65/722, 3118/5659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/722, 3118/5659 quickly i.e. 202670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/722, 3118/5659 is 202670.

LCM(65/722, 3118/5659) = 202670

LCM of 65/722, 3118/5659

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 65/722,3118/5659

Given numbers are 65/722,3118/5659

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 65,3118

Least Common Multiple of Numerators i.e. LCM of 65,3118 is 202670.

GCF of Denominators means GCF of 722,5659 as per the given fractions.

GCF of 722,5659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,3118

LCM of Fractions 65/722,3118/5659 is 202670

Given numbers has no common factors except 1. So, there LCM is their product i.e 202670

Least Common Multiple of 65,3118 with GCF Formula

Least Common Multiple of 65,3118 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 65,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,3118) = 1

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

GCF(65,3118) x common factors =1 x 1 = 1

LCM(65,3118) = ( 65 × 3118 ) / 1

LCM(65,3118) = 202670 / 1

LCM(65,3118) = 202670


Lets's calculate GCF of 722,5659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202670/1

Therefore the LCM of Fractions 65/722,3118/5659 is 202670

Greatest Common Factor of 722,5659 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,5659 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 5659

List of positive integer factors of 5659 that divides 5659 without a remainder.

1,5659

Greatest Common Factor

We found the factors 722,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 722,5659 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/722, 3118/5659

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 65/722, 3118/5659?

Answer: LCM of Numerators as per given numbers 65/722, 3118/5659 is

LCM of Numerators i.e. for 65,3118 is 202670

GCF of denominators i.e. for 722,5659 is 1.

Thus, LCM of Fractions is 202670.Finally, LCM of Fractions for 65/722, 3118/5659 is 202670.