Least Common Multiple of 43/200, 847/677, 110/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/200, 847/677, 110/768 quickly i.e. 364210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/200, 847/677, 110/768 is 364210.

LCM(43/200, 847/677, 110/768) = 364210

LCM of 43/200, 847/677, 110/768

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 43/200,847/677,110/768

Given numbers are 43/200,847/677,110/768

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 43,847,110

Least Common Multiple of Numerators i.e. LCM of 43,847,110 is 364210.

GCF of Denominators means GCF of 200,677,768 as per the given fractions.

GCF of 200,677,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,847,110

LCM of Fractions 43/200,847/677,110/768 is 364210

11 43, 847, 110
43, 77, 10

∴ So the LCM of the given numbers is 11 x 43 x 77 x 10 = 364210

Least Common Multiple of 43,847,110 with GCF Formula

Least Common Multiple of 43,847,110 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 43,847,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,847,110) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(43,847,110) x common factors =1 x 11 = 11

LCM(43,847,110) = ( 43 × 847 × 110 ) / 11

LCM(43,847,110) = 4006310 / 11

LCM(43,847,110) = 364210


Lets's calculate GCF of 200,677,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364210/1

Therefore the LCM of Fractions 43/200,847/677,110/768 is 364210

Greatest Common Factor of 200,677,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,677,768 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 200,677,768 . The biggest common factor number is the GCF number.
So the greatest common factor 200,677,768 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 43/200, 847/677, 110/768

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 43/200, 847/677, 110/768?

Answer: LCM of Numerators as per given numbers 43/200, 847/677, 110/768 is

LCM of Numerators i.e. for 43,847,110 is 364210

GCF of denominators i.e. for 200,677,768 is 1.

Thus, LCM of Fractions is 364210.Finally, LCM of Fractions for 43/200, 847/677, 110/768 is 364210.