Least Common Multiple of 389/11, 900/5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/11, 900/5745 quickly i.e. 350100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/11, 900/5745 is 350100.

LCM(389/11, 900/5745) = 350100

LCM of 389/11, 900/5745

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 389/11,900/5745

Given numbers are 389/11,900/5745

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 389,900

Least Common Multiple of Numerators i.e. LCM of 389,900 is 350100.

GCF of Denominators means GCF of 11,5745 as per the given fractions.

GCF of 11,5745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,900

LCM of Fractions 389/11,900/5745 is 350100

Given numbers has no common factors except 1. So, there LCM is their product i.e 350100

Least Common Multiple of 389,900 with GCF Formula

Least Common Multiple of 389,900 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 389,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,900) = 1

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

GCF(389,900) x common factors =1 x 1 = 1

LCM(389,900) = ( 389 × 900 ) / 1

LCM(389,900) = 350100 / 1

LCM(389,900) = 350100


Lets's calculate GCF of 11,5745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350100/1

Therefore the LCM of Fractions 389/11,900/5745 is 350100

Greatest Common Factor of 11,5745 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,5745 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1,3,5,15,383,1149,1915,5745

Greatest Common Factor

We found the factors 11,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 11,5745 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 389/11, 900/5745

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 389/11, 900/5745?

Answer: LCM of Numerators as per given numbers 389/11, 900/5745 is

LCM of Numerators i.e. for 389,900 is 350100

GCF of denominators i.e. for 11,5745 is 1.

Thus, LCM of Fractions is 350100.Finally, LCM of Fractions for 389/11, 900/5745 is 350100.