Least Common Multiple of 4214/331, 2937/7887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4214/331, 2937/7887 quickly i.e. 12376518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4214/331, 2937/7887 is 12376518.

LCM(4214/331, 2937/7887) = 12376518

LCM of 4214/331, 2937/7887

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 4214/331,2937/7887

Given numbers are 4214/331,2937/7887

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 4214,2937

Least Common Multiple of Numerators i.e. LCM of 4214,2937 is 12376518.

GCF of Denominators means GCF of 331,7887 as per the given fractions.

GCF of 331,7887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4214,2937

LCM of Fractions 4214/331,2937/7887 is 12376518

Given numbers has no common factors except 1. So, there LCM is their product i.e 12376518

Least Common Multiple of 4214,2937 with GCF Formula

Least Common Multiple of 4214,2937 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 4214,2937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4214,2937) = 1

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

GCF(4214,2937) x common factors =1 x 1 = 1

LCM(4214,2937) = ( 4214 × 2937 ) / 1

LCM(4214,2937) = 12376518 / 1

LCM(4214,2937) = 12376518


Lets's calculate GCF of 331,7887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12376518/1

Therefore the LCM of Fractions 4214/331,2937/7887 is 12376518

Greatest Common Factor of 331,7887 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,7887 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 7887

List of positive integer factors of 7887 that divides 7887 without a remainder.

1,3,11,33,239,717,2629,7887

Greatest Common Factor

We found the factors 331,7887 . The biggest common factor number is the GCF number.
So the greatest common factor 331,7887 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4214/331, 2937/7887

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 4214/331, 2937/7887?

Answer: LCM of Numerators as per given numbers 4214/331, 2937/7887 is

LCM of Numerators i.e. for 4214,2937 is 12376518

GCF of denominators i.e. for 331,7887 is 1.

Thus, LCM of Fractions is 12376518.Finally, LCM of Fractions for 4214/331, 2937/7887 is 12376518.