Least Common Multiple of 99/388, 687/405, 264/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/388, 687/405, 264/628 quickly i.e. 181368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/388, 687/405, 264/628 is 181368.

LCM(99/388, 687/405, 264/628) = 181368

LCM of 99/388, 687/405, 264/628

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 99/388,687/405,264/628

Given numbers are 99/388,687/405,264/628

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 99,687,264

Least Common Multiple of Numerators i.e. LCM of 99,687,264 is 181368.

GCF of Denominators means GCF of 388,405,628 as per the given fractions.

GCF of 388,405,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,687,264

LCM of Fractions 99/388,687/405,264/628 is 181368

3 99, 687, 264
11 33, 229, 88
3, 229, 8

∴ So the LCM of the given numbers is 3 x 11 x 3 x 229 x 8 = 181368

Least Common Multiple of 99,687,264 with GCF Formula

Least Common Multiple of 99,687,264 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 99,687,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,687,264) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(99,687,264) x common factors =3 x 33 = 99

LCM(99,687,264) = ( 99 × 687 × 264 ) / 99

LCM(99,687,264) = 17955432 / 99

LCM(99,687,264) = 181368


Lets's calculate GCF of 388,405,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181368/1

Therefore the LCM of Fractions 99/388,687/405,264/628 is 181368

Greatest Common Factor of 388,405,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,405,628 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 388,405,628 . The biggest common factor number is the GCF number.
So the greatest common factor 388,405,628 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 99/388, 687/405, 264/628

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 99/388, 687/405, 264/628?

Answer: LCM of Numerators as per given numbers 99/388, 687/405, 264/628 is

LCM of Numerators i.e. for 99,687,264 is 181368

GCF of denominators i.e. for 388,405,628 is 1.

Thus, LCM of Fractions is 181368.Finally, LCM of Fractions for 99/388, 687/405, 264/628 is 181368.