Least Common Multiple of 120/999, 688/744, 273/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/999, 688/744, 273/693 quickly i.e. 313040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/999, 688/744, 273/693 is 313040.

LCM(120/999, 688/744, 273/693) = 313040

LCM of 120/999, 688/744, 273/693

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 120/999,688/744,273/693

Given numbers are 120/999,688/744,273/693

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 120,688,273

Least Common Multiple of Numerators i.e. LCM of 120,688,273 is 939120.

GCF of Denominators means GCF of 999,744,693 as per the given fractions.

GCF of 999,744,693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,688,273

LCM of Fractions 120/999,688/744,273/693 is 313040

2 120, 688, 273
2 60, 344, 273
2 30, 172, 273
3 15, 86, 273
5, 86, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 86 x 91 = 939120

Least Common Multiple of 120,688,273 with GCF Formula

Least Common Multiple of 120,688,273 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 120,688,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,688,273) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(120,688,273) x common factors =1 x 24 = 24

LCM(120,688,273) = ( 120 × 688 × 273 ) / 24

LCM(120,688,273) = 22538880 / 24

LCM(120,688,273) = 939120


Lets's calculate GCF of 999,744,693

3 999, 744, 693
333, 248, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939120/3

Therefore the LCM of Fractions 120/999,688/744,273/693 is 313040

Greatest Common Factor of 999,744,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,744,693 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 999,744,693 . The biggest common factor number is the GCF number.
So the greatest common factor 999,744,693 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 120/999, 688/744, 273/693

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 120/999, 688/744, 273/693?

Answer: LCM of Numerators as per given numbers 120/999, 688/744, 273/693 is

LCM of Numerators i.e. for 120,688,273 is 939120

GCF of denominators i.e. for 999,744,693 is 3.

Thus, LCM of Fractions is 313040.Finally, LCM of Fractions for 120/999, 688/744, 273/693 is 313040.