Least Common Multiple of 378/328, 6740/8907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/328, 6740/8907 quickly i.e. 1273860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/328, 6740/8907 is 1273860.

LCM(378/328, 6740/8907) = 1273860

LCM of 378/328, 6740/8907

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 378/328,6740/8907

Given numbers are 378/328,6740/8907

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 378,6740

Least Common Multiple of Numerators i.e. LCM of 378,6740 is 1273860.

GCF of Denominators means GCF of 328,8907 as per the given fractions.

GCF of 328,8907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,6740

LCM of Fractions 378/328,6740/8907 is 1273860

2 378, 6740
189, 3370

∴ So the LCM of the given numbers is 2 x 189 x 3370 = 1273860

Least Common Multiple of 378,6740 with GCF Formula

Least Common Multiple of 378,6740 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 378,6740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,6740) = 2

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

GCF(378,6740) x common factors =2 x 1 = 2

LCM(378,6740) = ( 378 × 6740 ) / 2

LCM(378,6740) = 2547720 / 2

LCM(378,6740) = 1273860


Lets's calculate GCF of 328,8907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273860/1

Therefore the LCM of Fractions 378/328,6740/8907 is 1273860

Greatest Common Factor of 328,8907 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,8907 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

Greatest Common Factor

We found the factors 328,8907 . The biggest common factor number is the GCF number.
So the greatest common factor 328,8907 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 378/328, 6740/8907

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 378/328, 6740/8907?

Answer: LCM of Numerators as per given numbers 378/328, 6740/8907 is

LCM of Numerators i.e. for 378,6740 is 1273860

GCF of denominators i.e. for 328,8907 is 1.

Thus, LCM of Fractions is 1273860.Finally, LCM of Fractions for 378/328, 6740/8907 is 1273860.