Least Common Multiple of 1224/642, 3237/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1224/642, 3237/214 quickly i.e. 1320696/214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1224/642, 3237/214 is 1320696/214.

LCM(1224/642, 3237/214) = 1320696/214

LCM of 1224/642, 3237/214

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 1224/642,3237/214

Given numbers are 1224/642,3237/214

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 1224,3237

Least Common Multiple of Numerators i.e. LCM of 1224,3237 is 1320696.

GCF of Denominators means GCF of 642,214 as per the given fractions.

GCF of 642,214 is 214 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1224,3237

LCM of Fractions 1224/642,3237/214 is 1320696/214

3 1224, 3237
408, 1079

∴ So the LCM of the given numbers is 3 x 408 x 1079 = 1320696

Least Common Multiple of 1224,3237 with GCF Formula

Least Common Multiple of 1224,3237 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 1224,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1224,3237) = 3

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

GCF(1224,3237) x common factors =3 x 1 = 3

LCM(1224,3237) = ( 1224 × 3237 ) / 3

LCM(1224,3237) = 3962088 / 3

LCM(1224,3237) = 1320696


Lets's calculate GCF of 642,214

2 642, 214
107 321, 107
3, 1

∴ So the GCF of the given numbers is 2 x 107 = 214

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320696/214

Therefore the LCM of Fractions 1224/642,3237/214 is 1320696/214

Greatest Common Factor of 642,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,214 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 642,214 . The biggest common factor number is the GCF number.
So the greatest common factor 642,214 is 214.


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 1224/642, 3237/214

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 1224/642, 3237/214?

Answer: LCM of Numerators as per given numbers 1224/642, 3237/214 is

LCM of Numerators i.e. for 1224,3237 is 1320696

GCF of denominators i.e. for 642,214 is 214.

Thus, LCM of Fractions is 1320696/214.Finally, LCM of Fractions for 1224/642, 3237/214 is 1320696/214.