Least Common Multiple of 412/329, 5253/7728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/329, 5253/7728 quickly i.e. 21012/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/329, 5253/7728 is 21012/7.

LCM(412/329, 5253/7728) = 21012/7

LCM of 412/329, 5253/7728

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 412/329,5253/7728

Given numbers are 412/329,5253/7728

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 412,5253

Least Common Multiple of Numerators i.e. LCM of 412,5253 is 21012.

GCF of Denominators means GCF of 329,7728 as per the given fractions.

GCF of 329,7728 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,5253

LCM of Fractions 412/329,5253/7728 is 21012/7

103 412, 5253
4, 51

∴ So the LCM of the given numbers is 103 x 4 x 51 = 21012

Least Common Multiple of 412,5253 with GCF Formula

Least Common Multiple of 412,5253 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 412,5253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,5253) = 103

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

GCF(412,5253) x common factors =103 x 1 = 103

LCM(412,5253) = ( 412 × 5253 ) / 103

LCM(412,5253) = 2164236 / 103

LCM(412,5253) = 21012


Lets's calculate GCF of 329,7728

7 329, 7728
47, 1104

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21012/7

Therefore the LCM of Fractions 412/329,5253/7728 is 21012/7

Greatest Common Factor of 329,7728 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,7728 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Greatest Common Factor

We found the factors 329,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 329,7728 is 7.


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 412/329, 5253/7728

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 412/329, 5253/7728?

Answer: LCM of Numerators as per given numbers 412/329, 5253/7728 is

LCM of Numerators i.e. for 412,5253 is 21012

GCF of denominators i.e. for 329,7728 is 7.

Thus, LCM of Fractions is 21012/7.Finally, LCM of Fractions for 412/329, 5253/7728 is 21012/7.