Least Common Multiple of 3610/307, 7702/7378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3610/307, 7702/7378 quickly i.e. 13902110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3610/307, 7702/7378 is 13902110.

LCM(3610/307, 7702/7378) = 13902110

LCM of 3610/307, 7702/7378

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 3610/307,7702/7378

Given numbers are 3610/307,7702/7378

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 3610,7702

Least Common Multiple of Numerators i.e. LCM of 3610,7702 is 13902110.

GCF of Denominators means GCF of 307,7378 as per the given fractions.

GCF of 307,7378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3610,7702

LCM of Fractions 3610/307,7702/7378 is 13902110

2 3610, 7702
1805, 3851

∴ So the LCM of the given numbers is 2 x 1805 x 3851 = 13902110

Least Common Multiple of 3610,7702 with GCF Formula

Least Common Multiple of 3610,7702 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 3610,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3610,7702) = 2

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

GCF(3610,7702) x common factors =2 x 1 = 2

LCM(3610,7702) = ( 3610 × 7702 ) / 2

LCM(3610,7702) = 27804220 / 2

LCM(3610,7702) = 13902110


Lets's calculate GCF of 307,7378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13902110/1

Therefore the LCM of Fractions 3610/307,7702/7378 is 13902110

Greatest Common Factor of 307,7378 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,7378 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors 307,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 307,7378 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 3610/307, 7702/7378

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 3610/307, 7702/7378?

Answer: LCM of Numerators as per given numbers 3610/307, 7702/7378 is

LCM of Numerators i.e. for 3610,7702 is 13902110

GCF of denominators i.e. for 307,7378 is 1.

Thus, LCM of Fractions is 13902110.Finally, LCM of Fractions for 3610/307, 7702/7378 is 13902110.