Least Common Multiple of 169/176, 117/990, 213/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/176, 117/990, 213/184 quickly i.e. 107991/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/176, 117/990, 213/184 is 107991/2.

LCM(169/176, 117/990, 213/184) = 107991/2

LCM of 169/176, 117/990, 213/184

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 169/176,117/990,213/184

Given numbers are 169/176,117/990,213/184

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 169,117,213

Least Common Multiple of Numerators i.e. LCM of 169,117,213 is 107991.

GCF of Denominators means GCF of 176,990,184 as per the given fractions.

GCF of 176,990,184 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,117,213

LCM of Fractions 169/176,117/990,213/184 is 107991/2

3 169, 117, 213
13 169, 39, 71
13, 3, 71

∴ So the LCM of the given numbers is 3 x 13 x 13 x 3 x 71 = 107991

Least Common Multiple of 169,117,213 with GCF Formula

Least Common Multiple of 169,117,213 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 169,117,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,117,213) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(169,117,213) x common factors =1 x 39 = 39

LCM(169,117,213) = ( 169 × 117 × 213 ) / 39

LCM(169,117,213) = 4211649 / 39

LCM(169,117,213) = 107991


Lets's calculate GCF of 176,990,184

2 176, 990, 184
88, 495, 92

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107991/2

Therefore the LCM of Fractions 169/176,117/990,213/184 is 107991/2

Greatest Common Factor of 176,990,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,990,184 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 176,990,184 . The biggest common factor number is the GCF number.
So the greatest common factor 176,990,184 is 2.


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 169/176, 117/990, 213/184

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 169/176, 117/990, 213/184?

Answer: LCM of Numerators as per given numbers 169/176, 117/990, 213/184 is

LCM of Numerators i.e. for 169,117,213 is 107991

GCF of denominators i.e. for 176,990,184 is 2.

Thus, LCM of Fractions is 107991/2.Finally, LCM of Fractions for 169/176, 117/990, 213/184 is 107991/2.