Least Common Multiple of 200/42, 765/5912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/42, 765/5912 quickly i.e. 15300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/42, 765/5912 is 15300.

LCM(200/42, 765/5912) = 15300

LCM of 200/42, 765/5912

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 200/42,765/5912

Given numbers are 200/42,765/5912

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 200,765

Least Common Multiple of Numerators i.e. LCM of 200,765 is 30600.

GCF of Denominators means GCF of 42,5912 as per the given fractions.

GCF of 42,5912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,765

LCM of Fractions 200/42,765/5912 is 15300

5 200, 765
40, 153

∴ So the LCM of the given numbers is 5 x 40 x 153 = 30600

Least Common Multiple of 200,765 with GCF Formula

Least Common Multiple of 200,765 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 200,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,765) = 5

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

GCF(200,765) x common factors =5 x 1 = 5

LCM(200,765) = ( 200 × 765 ) / 5

LCM(200,765) = 153000 / 5

LCM(200,765) = 30600


Lets's calculate GCF of 42,5912

2 42, 5912
21, 2956

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30600/2

Therefore the LCM of Fractions 200/42,765/5912 is 15300

Greatest Common Factor of 42,5912 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5912 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5912

List of positive integer factors of 5912 that divides 5912 without a remainder.

1,2,4,8,739,1478,2956,5912

Greatest Common Factor

We found the factors 42,5912 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5912 is 2.


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 200/42, 765/5912

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 200/42, 765/5912?

Answer: LCM of Numerators as per given numbers 200/42, 765/5912 is

LCM of Numerators i.e. for 200,765 is 30600

GCF of denominators i.e. for 42,5912 is 2.

Thus, LCM of Fractions is 15300.Finally, LCM of Fractions for 200/42, 765/5912 is 15300.