Least Common Multiple of 3681/378, 9157/6070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3681/378, 9157/6070 quickly i.e. 33706917/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3681/378, 9157/6070 is 33706917/2.

LCM(3681/378, 9157/6070) = 33706917/2

LCM of 3681/378, 9157/6070

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 3681/378,9157/6070

Given numbers are 3681/378,9157/6070

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 3681,9157

Least Common Multiple of Numerators i.e. LCM of 3681,9157 is 33706917.

GCF of Denominators means GCF of 378,6070 as per the given fractions.

GCF of 378,6070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3681,9157

LCM of Fractions 3681/378,9157/6070 is 33706917/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 33706917

Least Common Multiple of 3681,9157 with GCF Formula

Least Common Multiple of 3681,9157 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 3681,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3681,9157) = 1

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

GCF(3681,9157) x common factors =1 x 1 = 1

LCM(3681,9157) = ( 3681 × 9157 ) / 1

LCM(3681,9157) = 33706917 / 1

LCM(3681,9157) = 33706917


Lets's calculate GCF of 378,6070

2 378, 6070
189, 3035

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33706917/2

Therefore the LCM of Fractions 3681/378,9157/6070 is 33706917/2

Greatest Common Factor of 378,6070 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,6070 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1,2,5,10,607,1214,3035,6070

Greatest Common Factor

We found the factors 378,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 378,6070 is 2.


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 3681/378, 9157/6070

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 3681/378, 9157/6070?

Answer: LCM of Numerators as per given numbers 3681/378, 9157/6070 is

LCM of Numerators i.e. for 3681,9157 is 33706917

GCF of denominators i.e. for 378,6070 is 2.

Thus, LCM of Fractions is 33706917/2.Finally, LCM of Fractions for 3681/378, 9157/6070 is 33706917/2.