Least Common Multiple of 124/204, 1514/6443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/204, 1514/6443 quickly i.e. 93868/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/204, 1514/6443 is 93868/17.

LCM(124/204, 1514/6443) = 93868/17

LCM of 124/204, 1514/6443

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 124/204,1514/6443

Given numbers are 124/204,1514/6443

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 124,1514

Least Common Multiple of Numerators i.e. LCM of 124,1514 is 93868.

GCF of Denominators means GCF of 204,6443 as per the given fractions.

GCF of 204,6443 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,1514

LCM of Fractions 124/204,1514/6443 is 93868/17

2 124, 1514
62, 757

∴ So the LCM of the given numbers is 2 x 62 x 757 = 93868

Least Common Multiple of 124,1514 with GCF Formula

Least Common Multiple of 124,1514 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 124,1514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,1514) = 2

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

GCF(124,1514) x common factors =2 x 1 = 2

LCM(124,1514) = ( 124 × 1514 ) / 2

LCM(124,1514) = 187736 / 2

LCM(124,1514) = 93868


Lets's calculate GCF of 204,6443

17 204, 6443
12, 379

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93868/17

Therefore the LCM of Fractions 124/204,1514/6443 is 93868/17

Greatest Common Factor of 204,6443 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,6443 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1,17,379,6443

Greatest Common Factor

We found the factors 204,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 204,6443 is 17.


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 124/204, 1514/6443

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 124/204, 1514/6443?

Answer: LCM of Numerators as per given numbers 124/204, 1514/6443 is

LCM of Numerators i.e. for 124,1514 is 93868

GCF of denominators i.e. for 204,6443 is 17.

Thus, LCM of Fractions is 93868/17.Finally, LCM of Fractions for 124/204, 1514/6443 is 93868/17.