Least Common Multiple of 999/735, 653/420, 666/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/735, 653/420, 666/459 quickly i.e. 434898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/735, 653/420, 666/459 is 434898.

LCM(999/735, 653/420, 666/459) = 434898

LCM of 999/735, 653/420, 666/459

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 999/735,653/420,666/459

Given numbers are 999/735,653/420,666/459

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 999,653,666

Least Common Multiple of Numerators i.e. LCM of 999,653,666 is 1304694.

GCF of Denominators means GCF of 735,420,459 as per the given fractions.

GCF of 735,420,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,653,666

LCM of Fractions 999/735,653/420,666/459 is 434898

3 999, 653, 666
3 333, 653, 222
37 111, 653, 74
3, 653, 2

∴ So the LCM of the given numbers is 3 x 3 x 37 x 3 x 653 x 2 = 1304694

Least Common Multiple of 999,653,666 with GCF Formula

Least Common Multiple of 999,653,666 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 999,653,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,653,666) = 1

common factors(in case of two or more numbers have common factors) = 333

GCF(999,653,666) x common factors =1 x 333 = 333

LCM(999,653,666) = ( 999 × 653 × 666 ) / 333

LCM(999,653,666) = 434463102 / 333

LCM(999,653,666) = 1304694


Lets's calculate GCF of 735,420,459

3 735, 420, 459
245, 140, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1304694/3

Therefore the LCM of Fractions 999/735,653/420,666/459 is 434898

Greatest Common Factor of 735,420,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,420,459 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 735,420,459 . The biggest common factor number is the GCF number.
So the greatest common factor 735,420,459 is 3.


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 999/735, 653/420, 666/459

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 999/735, 653/420, 666/459?

Answer: LCM of Numerators as per given numbers 999/735, 653/420, 666/459 is

LCM of Numerators i.e. for 999,653,666 is 1304694

GCF of denominators i.e. for 735,420,459 is 3.

Thus, LCM of Fractions is 434898.Finally, LCM of Fractions for 999/735, 653/420, 666/459 is 434898.