Least Common Multiple of 1384/343, 6061/9261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1384/343, 6061/9261 quickly i.e. 8388424/343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1384/343, 6061/9261 is 8388424/343.

LCM(1384/343, 6061/9261) = 8388424/343

LCM of 1384/343, 6061/9261

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 1384/343,6061/9261

Given numbers are 1384/343,6061/9261

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 1384,6061

Least Common Multiple of Numerators i.e. LCM of 1384,6061 is 8388424.

GCF of Denominators means GCF of 343,9261 as per the given fractions.

GCF of 343,9261 is 343 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1384,6061

LCM of Fractions 1384/343,6061/9261 is 8388424/343

Given numbers has no common factors except 1. So, there LCM is their product i.e 8388424

Least Common Multiple of 1384,6061 with GCF Formula

Least Common Multiple of 1384,6061 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 1384,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1384,6061) = 1

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

GCF(1384,6061) x common factors =1 x 1 = 1

LCM(1384,6061) = ( 1384 × 6061 ) / 1

LCM(1384,6061) = 8388424 / 1

LCM(1384,6061) = 8388424


Lets's calculate GCF of 343,9261

7 343, 9261
7 49, 1323
7 7, 189
1, 27

∴ So the GCF of the given numbers is 7 x 7 x 7 = 343

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8388424/343

Therefore the LCM of Fractions 1384/343,6061/9261 is 8388424/343

Greatest Common Factor of 343,9261 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,9261 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 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Greatest Common Factor

We found the factors 343,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 343,9261 is 343.


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 1384/343, 6061/9261

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 1384/343, 6061/9261?

Answer: LCM of Numerators as per given numbers 1384/343, 6061/9261 is

LCM of Numerators i.e. for 1384,6061 is 8388424

GCF of denominators i.e. for 343,9261 is 343.

Thus, LCM of Fractions is 8388424/343.Finally, LCM of Fractions for 1384/343, 6061/9261 is 8388424/343.