Least Common Multiple of 114/87, 333/6417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/87, 333/6417 quickly i.e. 4218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/87, 333/6417 is 4218.

LCM(114/87, 333/6417) = 4218

LCM of 114/87, 333/6417

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 114/87,333/6417

Given numbers are 114/87,333/6417

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 114,333

Least Common Multiple of Numerators i.e. LCM of 114,333 is 12654.

GCF of Denominators means GCF of 87,6417 as per the given fractions.

GCF of 87,6417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,333

LCM of Fractions 114/87,333/6417 is 4218

3 114, 333
38, 111

∴ So the LCM of the given numbers is 3 x 38 x 111 = 12654

Least Common Multiple of 114,333 with GCF Formula

Least Common Multiple of 114,333 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 114,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,333) = 3

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

GCF(114,333) x common factors =3 x 1 = 3

LCM(114,333) = ( 114 × 333 ) / 3

LCM(114,333) = 37962 / 3

LCM(114,333) = 12654


Lets's calculate GCF of 87,6417

3 87, 6417
29, 2139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12654/3

Therefore the LCM of Fractions 114/87,333/6417 is 4218

Greatest Common Factor of 87,6417 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6417 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Greatest Common Factor

We found the factors 87,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6417 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 114/87, 333/6417

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 114/87, 333/6417?

Answer: LCM of Numerators as per given numbers 114/87, 333/6417 is

LCM of Numerators i.e. for 114,333 is 12654

GCF of denominators i.e. for 87,6417 is 3.

Thus, LCM of Fractions is 4218.Finally, LCM of Fractions for 114/87, 333/6417 is 4218.