Least Common Multiple of 1574/741, 8113/3724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1574/741, 8113/3724 quickly i.e. 672098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1574/741, 8113/3724 is 672098.

LCM(1574/741, 8113/3724) = 672098

LCM of 1574/741, 8113/3724

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 1574/741,8113/3724

Given numbers are 1574/741,8113/3724

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 1574,8113

Least Common Multiple of Numerators i.e. LCM of 1574,8113 is 12769862.

GCF of Denominators means GCF of 741,3724 as per the given fractions.

GCF of 741,3724 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1574,8113

LCM of Fractions 1574/741,8113/3724 is 672098

Given numbers has no common factors except 1. So, there LCM is their product i.e 12769862

Least Common Multiple of 1574,8113 with GCF Formula

Least Common Multiple of 1574,8113 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 1574,8113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1574,8113) = 1

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

GCF(1574,8113) x common factors =1 x 1 = 1

LCM(1574,8113) = ( 1574 × 8113 ) / 1

LCM(1574,8113) = 12769862 / 1

LCM(1574,8113) = 12769862


Lets's calculate GCF of 741,3724

19 741, 3724
39, 196

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12769862/19

Therefore the LCM of Fractions 1574/741,8113/3724 is 672098

Greatest Common Factor of 741,3724 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,3724 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724

Greatest Common Factor

We found the factors 741,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 741,3724 is 19.


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 1574/741, 8113/3724

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 1574/741, 8113/3724?

Answer: LCM of Numerators as per given numbers 1574/741, 8113/3724 is

LCM of Numerators i.e. for 1574,8113 is 12769862

GCF of denominators i.e. for 741,3724 is 19.

Thus, LCM of Fractions is 672098.Finally, LCM of Fractions for 1574/741, 8113/3724 is 672098.