Least Common Multiple of 99/104, 1428/4861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/104, 1428/4861 quickly i.e. 47124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/104, 1428/4861 is 47124.

LCM(99/104, 1428/4861) = 47124

LCM of 99/104, 1428/4861

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 99/104,1428/4861

Given numbers are 99/104,1428/4861

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 99,1428

Least Common Multiple of Numerators i.e. LCM of 99,1428 is 47124.

GCF of Denominators means GCF of 104,4861 as per the given fractions.

GCF of 104,4861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,1428

LCM of Fractions 99/104,1428/4861 is 47124

3 99, 1428
33, 476

∴ So the LCM of the given numbers is 3 x 33 x 476 = 47124

Least Common Multiple of 99,1428 with GCF Formula

Least Common Multiple of 99,1428 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 99,1428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1428) = 3

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

GCF(99,1428) x common factors =3 x 1 = 3

LCM(99,1428) = ( 99 × 1428 ) / 3

LCM(99,1428) = 141372 / 3

LCM(99,1428) = 47124


Lets's calculate GCF of 104,4861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47124/1

Therefore the LCM of Fractions 99/104,1428/4861 is 47124

Greatest Common Factor of 104,4861 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,4861 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 4861

List of positive integer factors of 4861 that divides 4861 without a remainder.

1,4861

Greatest Common Factor

We found the factors 104,4861 . The biggest common factor number is the GCF number.
So the greatest common factor 104,4861 is 1.


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 99/104, 1428/4861

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 99/104, 1428/4861?

Answer: LCM of Numerators as per given numbers 99/104, 1428/4861 is

LCM of Numerators i.e. for 99,1428 is 47124

GCF of denominators i.e. for 104,4861 is 1.

Thus, LCM of Fractions is 47124.Finally, LCM of Fractions for 99/104, 1428/4861 is 47124.