Least Common Multiple of 6132/343, 9172/5797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6132/343, 9172/5797 quickly i.e. 14060676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6132/343, 9172/5797 is 14060676.

LCM(6132/343, 9172/5797) = 14060676

LCM of 6132/343, 9172/5797

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 6132/343,9172/5797

Given numbers are 6132/343,9172/5797

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 6132,9172

Least Common Multiple of Numerators i.e. LCM of 6132,9172 is 14060676.

GCF of Denominators means GCF of 343,5797 as per the given fractions.

GCF of 343,5797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6132,9172

LCM of Fractions 6132/343,9172/5797 is 14060676

2 6132, 9172
2 3066, 4586
1533, 2293

∴ So the LCM of the given numbers is 2 x 2 x 1533 x 2293 = 14060676

Least Common Multiple of 6132,9172 with GCF Formula

Least Common Multiple of 6132,9172 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 6132,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6132,9172) = 4

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

GCF(6132,9172) x common factors =4 x 1 = 4

LCM(6132,9172) = ( 6132 × 9172 ) / 4

LCM(6132,9172) = 56242704 / 4

LCM(6132,9172) = 14060676


Lets's calculate GCF of 343,5797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14060676/1

Therefore the LCM of Fractions 6132/343,9172/5797 is 14060676

Greatest Common Factor of 343,5797 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,5797 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1,11,17,31,187,341,527,5797

Greatest Common Factor

We found the factors 343,5797 . The biggest common factor number is the GCF number.
So the greatest common factor 343,5797 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 6132/343, 9172/5797

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 6132/343, 9172/5797?

Answer: LCM of Numerators as per given numbers 6132/343, 9172/5797 is

LCM of Numerators i.e. for 6132,9172 is 14060676

GCF of denominators i.e. for 343,5797 is 1.

Thus, LCM of Fractions is 14060676.Finally, LCM of Fractions for 6132/343, 9172/5797 is 14060676.