Least Common Multiple of 2103/508, 4212/8802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2103/508, 4212/8802 quickly i.e. 1476306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2103/508, 4212/8802 is 1476306.

LCM(2103/508, 4212/8802) = 1476306

LCM of 2103/508, 4212/8802

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 2103/508,4212/8802

Given numbers are 2103/508,4212/8802

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 2103,4212

Least Common Multiple of Numerators i.e. LCM of 2103,4212 is 2952612.

GCF of Denominators means GCF of 508,8802 as per the given fractions.

GCF of 508,8802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2103,4212

LCM of Fractions 2103/508,4212/8802 is 1476306

3 2103, 4212
701, 1404

∴ So the LCM of the given numbers is 3 x 701 x 1404 = 2952612

Least Common Multiple of 2103,4212 with GCF Formula

Least Common Multiple of 2103,4212 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 2103,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2103,4212) = 3

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

GCF(2103,4212) x common factors =3 x 1 = 3

LCM(2103,4212) = ( 2103 × 4212 ) / 3

LCM(2103,4212) = 8857836 / 3

LCM(2103,4212) = 2952612


Lets's calculate GCF of 508,8802

2 508, 8802
254, 4401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2952612/2

Therefore the LCM of Fractions 2103/508,4212/8802 is 1476306

Greatest Common Factor of 508,8802 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,8802 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802

Greatest Common Factor

We found the factors 508,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 508,8802 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 2103/508, 4212/8802

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 2103/508, 4212/8802?

Answer: LCM of Numerators as per given numbers 2103/508, 4212/8802 is

LCM of Numerators i.e. for 2103,4212 is 2952612

GCF of denominators i.e. for 508,8802 is 2.

Thus, LCM of Fractions is 1476306.Finally, LCM of Fractions for 2103/508, 4212/8802 is 1476306.