Least Common Multiple of 576/343, 9825/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/343, 9825/268 quickly i.e. 1886400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/343, 9825/268 is 1886400.

LCM(576/343, 9825/268) = 1886400

LCM of 576/343, 9825/268

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 576/343,9825/268

Given numbers are 576/343,9825/268

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 576,9825

Least Common Multiple of Numerators i.e. LCM of 576,9825 is 1886400.

GCF of Denominators means GCF of 343,268 as per the given fractions.

GCF of 343,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,9825

LCM of Fractions 576/343,9825/268 is 1886400

3 576, 9825
192, 3275

∴ So the LCM of the given numbers is 3 x 192 x 3275 = 1886400

Least Common Multiple of 576,9825 with GCF Formula

Least Common Multiple of 576,9825 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 576,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,9825) = 3

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

GCF(576,9825) x common factors =3 x 1 = 3

LCM(576,9825) = ( 576 × 9825 ) / 3

LCM(576,9825) = 5659200 / 3

LCM(576,9825) = 1886400


Lets's calculate GCF of 343,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1886400/1

Therefore the LCM of Fractions 576/343,9825/268 is 1886400

Greatest Common Factor of 343,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,268 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 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 343,268 . The biggest common factor number is the GCF number.
So the greatest common factor 343,268 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 576/343, 9825/268

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 576/343, 9825/268?

Answer: LCM of Numerators as per given numbers 576/343, 9825/268 is

LCM of Numerators i.e. for 576,9825 is 1886400

GCF of denominators i.e. for 343,268 is 1.

Thus, LCM of Fractions is 1886400.Finally, LCM of Fractions for 576/343, 9825/268 is 1886400.