Least Common Multiple of 200/41, 768/48, 306/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/41, 768/48, 306/46 quickly i.e. 979200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/41, 768/48, 306/46 is 979200.

LCM(200/41, 768/48, 306/46) = 979200

LCM of 200/41, 768/48, 306/46

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 200/41,768/48,306/46

Given numbers are 200/41,768/48,306/46

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 200,768,306

Least Common Multiple of Numerators i.e. LCM of 200,768,306 is 979200.

GCF of Denominators means GCF of 41,48,46 as per the given fractions.

GCF of 41,48,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,768,306

LCM of Fractions 200/41,768/48,306/46 is 979200

2 200, 768, 306
2 100, 384, 153
2 50, 192, 153
3 25, 96, 153
25, 32, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 32 x 51 = 979200

Least Common Multiple of 200,768,306 with GCF Formula

Least Common Multiple of 200,768,306 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 200,768,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,768,306) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(200,768,306) x common factors =2 x 24 = 48

LCM(200,768,306) = ( 200 × 768 × 306 ) / 48

LCM(200,768,306) = 47001600 / 48

LCM(200,768,306) = 979200


Lets's calculate GCF of 41,48,46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 979200/1

Therefore the LCM of Fractions 200/41,768/48,306/46 is 979200

Greatest Common Factor of 41,48,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,48,46 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 41,48,46 . The biggest common factor number is the GCF number.
So the greatest common factor 41,48,46 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 200/41, 768/48, 306/46

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 200/41, 768/48, 306/46?

Answer: LCM of Numerators as per given numbers 200/41, 768/48, 306/46 is

LCM of Numerators i.e. for 200,768,306 is 979200

GCF of denominators i.e. for 41,48,46 is 1.

Thus, LCM of Fractions is 979200.Finally, LCM of Fractions for 200/41, 768/48, 306/46 is 979200.