Least Common Multiple of 18/753, 8401/4896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/753, 8401/4896 quickly i.e. 50406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/753, 8401/4896 is 50406.

LCM(18/753, 8401/4896) = 50406

LCM of 18/753, 8401/4896

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 18/753,8401/4896

Given numbers are 18/753,8401/4896

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 18,8401

Least Common Multiple of Numerators i.e. LCM of 18,8401 is 151218.

GCF of Denominators means GCF of 753,4896 as per the given fractions.

GCF of 753,4896 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,8401

LCM of Fractions 18/753,8401/4896 is 50406

Given numbers has no common factors except 1. So, there LCM is their product i.e 151218

Least Common Multiple of 18,8401 with GCF Formula

Least Common Multiple of 18,8401 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 18,8401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,8401) = 1

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

GCF(18,8401) x common factors =1 x 1 = 1

LCM(18,8401) = ( 18 × 8401 ) / 1

LCM(18,8401) = 151218 / 1

LCM(18,8401) = 151218


Lets's calculate GCF of 753,4896

3 753, 4896
251, 1632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151218/3

Therefore the LCM of Fractions 18/753,8401/4896 is 50406

Greatest Common Factor of 753,4896 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,4896 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896

Greatest Common Factor

We found the factors 753,4896 . The biggest common factor number is the GCF number.
So the greatest common factor 753,4896 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 18/753, 8401/4896

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 18/753, 8401/4896?

Answer: LCM of Numerators as per given numbers 18/753, 8401/4896 is

LCM of Numerators i.e. for 18,8401 is 151218

GCF of denominators i.e. for 753,4896 is 3.

Thus, LCM of Fractions is 50406.Finally, LCM of Fractions for 18/753, 8401/4896 is 50406.