Least Common Multiple of 4430/123, 7728/3657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4430/123, 7728/3657 quickly i.e. 5705840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4430/123, 7728/3657 is 5705840.

LCM(4430/123, 7728/3657) = 5705840

LCM of 4430/123, 7728/3657

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 4430/123,7728/3657

Given numbers are 4430/123,7728/3657

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 4430,7728

Least Common Multiple of Numerators i.e. LCM of 4430,7728 is 17117520.

GCF of Denominators means GCF of 123,3657 as per the given fractions.

GCF of 123,3657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4430,7728

LCM of Fractions 4430/123,7728/3657 is 5705840

2 4430, 7728
2215, 3864

∴ So the LCM of the given numbers is 2 x 2215 x 3864 = 17117520

Least Common Multiple of 4430,7728 with GCF Formula

Least Common Multiple of 4430,7728 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 4430,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4430,7728) = 2

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

GCF(4430,7728) x common factors =2 x 1 = 2

LCM(4430,7728) = ( 4430 × 7728 ) / 2

LCM(4430,7728) = 34235040 / 2

LCM(4430,7728) = 17117520


Lets's calculate GCF of 123,3657

3 123, 3657
41, 1219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17117520/3

Therefore the LCM of Fractions 4430/123,7728/3657 is 5705840

Greatest Common Factor of 123,3657 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,3657 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

Greatest Common Factor

We found the factors 123,3657 . The biggest common factor number is the GCF number.
So the greatest common factor 123,3657 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 4430/123, 7728/3657

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 4430/123, 7728/3657?

Answer: LCM of Numerators as per given numbers 4430/123, 7728/3657 is

LCM of Numerators i.e. for 4430,7728 is 17117520

GCF of denominators i.e. for 123,3657 is 3.

Thus, LCM of Fractions is 5705840.Finally, LCM of Fractions for 4430/123, 7728/3657 is 5705840.