Least Common Multiple of 20/414, 2456/3147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/414, 2456/3147 quickly i.e. 12280/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/414, 2456/3147 is 12280/3.

LCM(20/414, 2456/3147) = 12280/3

LCM of 20/414, 2456/3147

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 20/414,2456/3147

Given numbers are 20/414,2456/3147

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 20,2456

Least Common Multiple of Numerators i.e. LCM of 20,2456 is 12280.

GCF of Denominators means GCF of 414,3147 as per the given fractions.

GCF of 414,3147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,2456

LCM of Fractions 20/414,2456/3147 is 12280/3

2 20, 2456
2 10, 1228
5, 614

∴ So the LCM of the given numbers is 2 x 2 x 5 x 614 = 12280

Least Common Multiple of 20,2456 with GCF Formula

Least Common Multiple of 20,2456 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 20,2456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,2456) = 4

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

GCF(20,2456) x common factors =4 x 1 = 4

LCM(20,2456) = ( 20 × 2456 ) / 4

LCM(20,2456) = 49120 / 4

LCM(20,2456) = 12280


Lets's calculate GCF of 414,3147

3 414, 3147
138, 1049

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12280/3

Therefore the LCM of Fractions 20/414,2456/3147 is 12280/3

Greatest Common Factor of 414,3147 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,3147 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 3147

List of positive integer factors of 3147 that divides 3147 without a remainder.

1,3,1049,3147

Greatest Common Factor

We found the factors 414,3147 . The biggest common factor number is the GCF number.
So the greatest common factor 414,3147 is 3.


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 20/414, 2456/3147

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 20/414, 2456/3147?

Answer: LCM of Numerators as per given numbers 20/414, 2456/3147 is

LCM of Numerators i.e. for 20,2456 is 12280

GCF of denominators i.e. for 414,3147 is 3.

Thus, LCM of Fractions is 12280/3.Finally, LCM of Fractions for 20/414, 2456/3147 is 12280/3.