Least Common Multiple of 10/738, 6981/4112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/738, 6981/4112 quickly i.e. 34905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/738, 6981/4112 is 34905.

LCM(10/738, 6981/4112) = 34905

LCM of 10/738, 6981/4112

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 10/738,6981/4112

Given numbers are 10/738,6981/4112

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 10,6981

Least Common Multiple of Numerators i.e. LCM of 10,6981 is 69810.

GCF of Denominators means GCF of 738,4112 as per the given fractions.

GCF of 738,4112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,6981

LCM of Fractions 10/738,6981/4112 is 34905

Given numbers has no common factors except 1. So, there LCM is their product i.e 69810

Least Common Multiple of 10,6981 with GCF Formula

Least Common Multiple of 10,6981 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 10,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,6981) = 1

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

GCF(10,6981) x common factors =1 x 1 = 1

LCM(10,6981) = ( 10 × 6981 ) / 1

LCM(10,6981) = 69810 / 1

LCM(10,6981) = 69810


Lets's calculate GCF of 738,4112

2 738, 4112
369, 2056

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69810/2

Therefore the LCM of Fractions 10/738,6981/4112 is 34905

Greatest Common Factor of 738,4112 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,4112 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors 738,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 738,4112 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 10/738, 6981/4112

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 10/738, 6981/4112?

Answer: LCM of Numerators as per given numbers 10/738, 6981/4112 is

LCM of Numerators i.e. for 10,6981 is 69810

GCF of denominators i.e. for 738,4112 is 2.

Thus, LCM of Fractions is 34905.Finally, LCM of Fractions for 10/738, 6981/4112 is 34905.