Least Common Multiple of 7610/369, 5966/3668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7610/369, 5966/3668 quickly i.e. 22700630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7610/369, 5966/3668 is 22700630.

LCM(7610/369, 5966/3668) = 22700630

LCM of 7610/369, 5966/3668

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 7610/369,5966/3668

Given numbers are 7610/369,5966/3668

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 7610,5966

Least Common Multiple of Numerators i.e. LCM of 7610,5966 is 22700630.

GCF of Denominators means GCF of 369,3668 as per the given fractions.

GCF of 369,3668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7610,5966

LCM of Fractions 7610/369,5966/3668 is 22700630

2 7610, 5966
3805, 2983

∴ So the LCM of the given numbers is 2 x 3805 x 2983 = 22700630

Least Common Multiple of 7610,5966 with GCF Formula

Least Common Multiple of 7610,5966 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 7610,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7610,5966) = 2

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

GCF(7610,5966) x common factors =2 x 1 = 2

LCM(7610,5966) = ( 7610 × 5966 ) / 2

LCM(7610,5966) = 45401260 / 2

LCM(7610,5966) = 22700630


Lets's calculate GCF of 369,3668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22700630/1

Therefore the LCM of Fractions 7610/369,5966/3668 is 22700630

Greatest Common Factor of 369,3668 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,3668 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors 369,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 369,3668 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 7610/369, 5966/3668

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 7610/369, 5966/3668?

Answer: LCM of Numerators as per given numbers 7610/369, 5966/3668 is

LCM of Numerators i.e. for 7610,5966 is 22700630

GCF of denominators i.e. for 369,3668 is 1.

Thus, LCM of Fractions is 22700630.Finally, LCM of Fractions for 7610/369, 5966/3668 is 22700630.