Least Common Multiple of 114/10, 420/27, 317/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/10, 420/27, 317/818 quickly i.e. 2529660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/10, 420/27, 317/818 is 2529660.

LCM(114/10, 420/27, 317/818) = 2529660

LCM of 114/10, 420/27, 317/818

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 114/10,420/27,317/818

Given numbers are 114/10,420/27,317/818

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 114,420,317

Least Common Multiple of Numerators i.e. LCM of 114,420,317 is 2529660.

GCF of Denominators means GCF of 10,27,818 as per the given fractions.

GCF of 10,27,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,420,317

LCM of Fractions 114/10,420/27,317/818 is 2529660

2 114, 420, 317
3 57, 210, 317
19, 70, 317

∴ So the LCM of the given numbers is 2 x 3 x 19 x 70 x 317 = 2529660

Least Common Multiple of 114,420,317 with GCF Formula

Least Common Multiple of 114,420,317 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 114,420,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,420,317) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(114,420,317) x common factors =1 x 6 = 6

LCM(114,420,317) = ( 114 × 420 × 317 ) / 6

LCM(114,420,317) = 15177960 / 6

LCM(114,420,317) = 2529660


Lets's calculate GCF of 10,27,818

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2529660/1

Therefore the LCM of Fractions 114/10,420/27,317/818 is 2529660

Greatest Common Factor of 10,27,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,27,818 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 10,27,818 . The biggest common factor number is the GCF number.
So the greatest common factor 10,27,818 is 1.


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 114/10, 420/27, 317/818

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 114/10, 420/27, 317/818?

Answer: LCM of Numerators as per given numbers 114/10, 420/27, 317/818 is

LCM of Numerators i.e. for 114,420,317 is 2529660

GCF of denominators i.e. for 10,27,818 is 1.

Thus, LCM of Fractions is 2529660.Finally, LCM of Fractions for 114/10, 420/27, 317/818 is 2529660.