Least Common Multiple of 384/745, 9050/7299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 384/745, 9050/7299 quickly i.e. 1737600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/745, 9050/7299 is 1737600.

LCM(384/745, 9050/7299) = 1737600

LCM of 384/745, 9050/7299

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 384/745,9050/7299

Given numbers are 384/745,9050/7299

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 384,9050

Least Common Multiple of Numerators i.e. LCM of 384,9050 is 1737600.

GCF of Denominators means GCF of 745,7299 as per the given fractions.

GCF of 745,7299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,9050

LCM of Fractions 384/745,9050/7299 is 1737600

2 384, 9050
192, 4525

∴ So the LCM of the given numbers is 2 x 192 x 4525 = 1737600

Least Common Multiple of 384,9050 with GCF Formula

Least Common Multiple of 384,9050 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 384,9050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,9050) = 2

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

GCF(384,9050) x common factors =2 x 1 = 2

LCM(384,9050) = ( 384 × 9050 ) / 2

LCM(384,9050) = 3475200 / 2

LCM(384,9050) = 1737600


Lets's calculate GCF of 745,7299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1737600/1

Therefore the LCM of Fractions 384/745,9050/7299 is 1737600

Greatest Common Factor of 745,7299 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,7299 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 7299

List of positive integer factors of 7299 that divides 7299 without a remainder.

1,3,9,811,2433,7299

Greatest Common Factor

We found the factors 745,7299 . The biggest common factor number is the GCF number.
So the greatest common factor 745,7299 is 1.


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Frequently Asked Questions on Fractional LCM of 384/745, 9050/7299

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 384/745, 9050/7299?

Answer: LCM of Numerators as per given numbers 384/745, 9050/7299 is

LCM of Numerators i.e. for 384,9050 is 1737600

GCF of denominators i.e. for 745,7299 is 1.

Thus, LCM of Fractions is 1737600.Finally, LCM of Fractions for 384/745, 9050/7299 is 1737600.