Least Common Multiple of 389/704, 7041/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/704, 7041/473 quickly i.e. 2738949/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/704, 7041/473 is 2738949/11.

LCM(389/704, 7041/473) = 2738949/11

LCM of 389/704, 7041/473

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 389/704,7041/473

Given numbers are 389/704,7041/473

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 389,7041

Least Common Multiple of Numerators i.e. LCM of 389,7041 is 2738949.

GCF of Denominators means GCF of 704,473 as per the given fractions.

GCF of 704,473 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,7041

LCM of Fractions 389/704,7041/473 is 2738949/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2738949

Least Common Multiple of 389,7041 with GCF Formula

Least Common Multiple of 389,7041 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 389,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,7041) = 1

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

GCF(389,7041) x common factors =1 x 1 = 1

LCM(389,7041) = ( 389 × 7041 ) / 1

LCM(389,7041) = 2738949 / 1

LCM(389,7041) = 2738949


Lets's calculate GCF of 704,473

11 704, 473
64, 43

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2738949/11

Therefore the LCM of Fractions 389/704,7041/473 is 2738949/11

Greatest Common Factor of 704,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,473 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 704,473 . The biggest common factor number is the GCF number.
So the greatest common factor 704,473 is 11.


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 389/704, 7041/473

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 389/704, 7041/473?

Answer: LCM of Numerators as per given numbers 389/704, 7041/473 is

LCM of Numerators i.e. for 389,7041 is 2738949

GCF of denominators i.e. for 704,473 is 11.

Thus, LCM of Fractions is 2738949/11.Finally, LCM of Fractions for 389/704, 7041/473 is 2738949/11.