Least Common Multiple of 4949/414, 8139/2574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4949/414, 8139/2574 quickly i.e. 40279911/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4949/414, 8139/2574 is 40279911/18.

LCM(4949/414, 8139/2574) = 40279911/18

LCM of 4949/414, 8139/2574

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 4949/414,8139/2574

Given numbers are 4949/414,8139/2574

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 4949,8139

Least Common Multiple of Numerators i.e. LCM of 4949,8139 is 40279911.

GCF of Denominators means GCF of 414,2574 as per the given fractions.

GCF of 414,2574 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4949,8139

LCM of Fractions 4949/414,8139/2574 is 40279911/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 40279911

Least Common Multiple of 4949,8139 with GCF Formula

Least Common Multiple of 4949,8139 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 4949,8139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4949,8139) = 1

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

GCF(4949,8139) x common factors =1 x 1 = 1

LCM(4949,8139) = ( 4949 × 8139 ) / 1

LCM(4949,8139) = 40279911 / 1

LCM(4949,8139) = 40279911


Lets's calculate GCF of 414,2574

2 414, 2574
3 207, 1287
3 69, 429
23, 143

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40279911/18

Therefore the LCM of Fractions 4949/414,8139/2574 is 40279911/18

Greatest Common Factor of 414,2574 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,2574 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 2574

List of positive integer factors of 2574 that divides 2574 without a remainder.

1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574

Greatest Common Factor

We found the factors 414,2574 . The biggest common factor number is the GCF number.
So the greatest common factor 414,2574 is 18.


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 4949/414, 8139/2574

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 4949/414, 8139/2574?

Answer: LCM of Numerators as per given numbers 4949/414, 8139/2574 is

LCM of Numerators i.e. for 4949,8139 is 40279911

GCF of denominators i.e. for 414,2574 is 18.

Thus, LCM of Fractions is 40279911/18.Finally, LCM of Fractions for 4949/414, 8139/2574 is 40279911/18.