Least Common Multiple of 753/50, 284/3224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/50, 284/3224 quickly i.e. 106926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/50, 284/3224 is 106926.

LCM(753/50, 284/3224) = 106926

LCM of 753/50, 284/3224

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 753/50,284/3224

Given numbers are 753/50,284/3224

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 753,284

Least Common Multiple of Numerators i.e. LCM of 753,284 is 213852.

GCF of Denominators means GCF of 50,3224 as per the given fractions.

GCF of 50,3224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,284

LCM of Fractions 753/50,284/3224 is 106926

Given numbers has no common factors except 1. So, there LCM is their product i.e 213852

Least Common Multiple of 753,284 with GCF Formula

Least Common Multiple of 753,284 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 753,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,284) = 1

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

GCF(753,284) x common factors =1 x 1 = 1

LCM(753,284) = ( 753 × 284 ) / 1

LCM(753,284) = 213852 / 1

LCM(753,284) = 213852


Lets's calculate GCF of 50,3224

2 50, 3224
25, 1612

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213852/2

Therefore the LCM of Fractions 753/50,284/3224 is 106926

Greatest Common Factor of 50,3224 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,3224 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224

Greatest Common Factor

We found the factors 50,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 50,3224 is 2.


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 753/50, 284/3224

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 753/50, 284/3224?

Answer: LCM of Numerators as per given numbers 753/50, 284/3224 is

LCM of Numerators i.e. for 753,284 is 213852

GCF of denominators i.e. for 50,3224 is 2.

Thus, LCM of Fractions is 106926.Finally, LCM of Fractions for 753/50, 284/3224 is 106926.