Least Common Multiple of 2100/224, 4079/4412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2100/224, 4079/4412 quickly i.e. 2141475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2100/224, 4079/4412 is 2141475.

LCM(2100/224, 4079/4412) = 2141475

LCM of 2100/224, 4079/4412

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 2100/224,4079/4412

Given numbers are 2100/224,4079/4412

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 2100,4079

Least Common Multiple of Numerators i.e. LCM of 2100,4079 is 8565900.

GCF of Denominators means GCF of 224,4412 as per the given fractions.

GCF of 224,4412 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2100,4079

LCM of Fractions 2100/224,4079/4412 is 2141475

Given numbers has no common factors except 1. So, there LCM is their product i.e 8565900

Least Common Multiple of 2100,4079 with GCF Formula

Least Common Multiple of 2100,4079 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 2100,4079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2100,4079) = 1

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

GCF(2100,4079) x common factors =1 x 1 = 1

LCM(2100,4079) = ( 2100 × 4079 ) / 1

LCM(2100,4079) = 8565900 / 1

LCM(2100,4079) = 8565900


Lets's calculate GCF of 224,4412

2 224, 4412
2 112, 2206
56, 1103

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8565900/4

Therefore the LCM of Fractions 2100/224,4079/4412 is 2141475

Greatest Common Factor of 224,4412 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,4412 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1,2,4,1103,2206,4412

Greatest Common Factor

We found the factors 224,4412 . The biggest common factor number is the GCF number.
So the greatest common factor 224,4412 is 4.


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 2100/224, 4079/4412

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 2100/224, 4079/4412?

Answer: LCM of Numerators as per given numbers 2100/224, 4079/4412 is

LCM of Numerators i.e. for 2100,4079 is 8565900

GCF of denominators i.e. for 224,4412 is 4.

Thus, LCM of Fractions is 2141475.Finally, LCM of Fractions for 2100/224, 4079/4412 is 2141475.