Least Common Multiple of 733/471, 710/687, 994/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/471, 710/687, 994/452 quickly i.e. 3643010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/471, 710/687, 994/452 is 3643010.

LCM(733/471, 710/687, 994/452) = 3643010

LCM of 733/471, 710/687, 994/452

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 733/471,710/687,994/452

Given numbers are 733/471,710/687,994/452

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 733,710,994

Least Common Multiple of Numerators i.e. LCM of 733,710,994 is 3643010.

GCF of Denominators means GCF of 471,687,452 as per the given fractions.

GCF of 471,687,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,710,994

LCM of Fractions 733/471,710/687,994/452 is 3643010

2 733, 710, 994
71 733, 355, 497
733, 5, 7

∴ So the LCM of the given numbers is 2 x 71 x 733 x 5 x 7 = 3643010

Least Common Multiple of 733,710,994 with GCF Formula

Least Common Multiple of 733,710,994 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 733,710,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,710,994) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(733,710,994) x common factors =1 x 142 = 142

LCM(733,710,994) = ( 733 × 710 × 994 ) / 142

LCM(733,710,994) = 517307420 / 142

LCM(733,710,994) = 3643010


Lets's calculate GCF of 471,687,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3643010/1

Therefore the LCM of Fractions 733/471,710/687,994/452 is 3643010

Greatest Common Factor of 471,687,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,687,452 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 471,687,452 . The biggest common factor number is the GCF number.
So the greatest common factor 471,687,452 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 733/471, 710/687, 994/452

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 733/471, 710/687, 994/452?

Answer: LCM of Numerators as per given numbers 733/471, 710/687, 994/452 is

LCM of Numerators i.e. for 733,710,994 is 3643010

GCF of denominators i.e. for 471,687,452 is 1.

Thus, LCM of Fractions is 3643010.Finally, LCM of Fractions for 733/471, 710/687, 994/452 is 3643010.