Least Common Multiple of 99/164, 84/207, 106/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/164, 84/207, 106/649 quickly i.e. 146916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/164, 84/207, 106/649 is 146916.

LCM(99/164, 84/207, 106/649) = 146916

LCM of 99/164, 84/207, 106/649

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 99/164,84/207,106/649

Given numbers are 99/164,84/207,106/649

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 99,84,106

Least Common Multiple of Numerators i.e. LCM of 99,84,106 is 146916.

GCF of Denominators means GCF of 164,207,649 as per the given fractions.

GCF of 164,207,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,84,106

LCM of Fractions 99/164,84/207,106/649 is 146916

2 99, 84, 106
3 99, 42, 53
33, 14, 53

∴ So the LCM of the given numbers is 2 x 3 x 33 x 14 x 53 = 146916

Least Common Multiple of 99,84,106 with GCF Formula

Least Common Multiple of 99,84,106 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 99,84,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,84,106) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,84,106) x common factors =1 x 6 = 6

LCM(99,84,106) = ( 99 × 84 × 106 ) / 6

LCM(99,84,106) = 881496 / 6

LCM(99,84,106) = 146916


Lets's calculate GCF of 164,207,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146916/1

Therefore the LCM of Fractions 99/164,84/207,106/649 is 146916

Greatest Common Factor of 164,207,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,207,649 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 164,207,649 . The biggest common factor number is the GCF number.
So the greatest common factor 164,207,649 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 99/164, 84/207, 106/649

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 99/164, 84/207, 106/649?

Answer: LCM of Numerators as per given numbers 99/164, 84/207, 106/649 is

LCM of Numerators i.e. for 99,84,106 is 146916

GCF of denominators i.e. for 164,207,649 is 1.

Thus, LCM of Fractions is 146916.Finally, LCM of Fractions for 99/164, 84/207, 106/649 is 146916.