Least Common Multiple of 7041/36, 1114/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7041/36, 1114/494 quickly i.e. 3921837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7041/36, 1114/494 is 3921837.

LCM(7041/36, 1114/494) = 3921837

LCM of 7041/36, 1114/494

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 7041/36,1114/494

Given numbers are 7041/36,1114/494

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 7041,1114

Least Common Multiple of Numerators i.e. LCM of 7041,1114 is 7843674.

GCF of Denominators means GCF of 36,494 as per the given fractions.

GCF of 36,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7041,1114

LCM of Fractions 7041/36,1114/494 is 3921837

Given numbers has no common factors except 1. So, there LCM is their product i.e 7843674

Least Common Multiple of 7041,1114 with GCF Formula

Least Common Multiple of 7041,1114 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 7041,1114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7041,1114) = 1

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

GCF(7041,1114) x common factors =1 x 1 = 1

LCM(7041,1114) = ( 7041 × 1114 ) / 1

LCM(7041,1114) = 7843674 / 1

LCM(7041,1114) = 7843674


Lets's calculate GCF of 36,494

2 36, 494
18, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7843674/2

Therefore the LCM of Fractions 7041/36,1114/494 is 3921837

Greatest Common Factor of 36,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,494 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 36,494 . The biggest common factor number is the GCF number.
So the greatest common factor 36,494 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 7041/36, 1114/494

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 7041/36, 1114/494?

Answer: LCM of Numerators as per given numbers 7041/36, 1114/494 is

LCM of Numerators i.e. for 7041,1114 is 7843674

GCF of denominators i.e. for 36,494 is 2.

Thus, LCM of Fractions is 3921837.Finally, LCM of Fractions for 7041/36, 1114/494 is 3921837.