Least Common Multiple of 300/54, 844/6049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/54, 844/6049 quickly i.e. 63300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/54, 844/6049 is 63300.

LCM(300/54, 844/6049) = 63300

LCM of 300/54, 844/6049

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 300/54,844/6049

Given numbers are 300/54,844/6049

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 300,844

Least Common Multiple of Numerators i.e. LCM of 300,844 is 63300.

GCF of Denominators means GCF of 54,6049 as per the given fractions.

GCF of 54,6049 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,844

LCM of Fractions 300/54,844/6049 is 63300

2 300, 844
2 150, 422
75, 211

∴ So the LCM of the given numbers is 2 x 2 x 75 x 211 = 63300

Least Common Multiple of 300,844 with GCF Formula

Least Common Multiple of 300,844 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 300,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,844) = 4

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

GCF(300,844) x common factors =4 x 1 = 4

LCM(300,844) = ( 300 × 844 ) / 4

LCM(300,844) = 253200 / 4

LCM(300,844) = 63300


Lets's calculate GCF of 54,6049

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63300/1

Therefore the LCM of Fractions 300/54,844/6049 is 63300

Greatest Common Factor of 54,6049 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,6049 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 6049

List of positive integer factors of 6049 that divides 6049 without a remainder.

1,23,263,6049

Greatest Common Factor

We found the factors 54,6049 . The biggest common factor number is the GCF number.
So the greatest common factor 54,6049 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 300/54, 844/6049

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 300/54, 844/6049?

Answer: LCM of Numerators as per given numbers 300/54, 844/6049 is

LCM of Numerators i.e. for 300,844 is 63300

GCF of denominators i.e. for 54,6049 is 1.

Thus, LCM of Fractions is 63300.Finally, LCM of Fractions for 300/54, 844/6049 is 63300.