Least Common Multiple of 99/422, 176/169, 504/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/422, 176/169, 504/193 quickly i.e. 11088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/422, 176/169, 504/193 is 11088.

LCM(99/422, 176/169, 504/193) = 11088

LCM of 99/422, 176/169, 504/193

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 99/422,176/169,504/193

Given numbers are 99/422,176/169,504/193

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 99,176,504

Least Common Multiple of Numerators i.e. LCM of 99,176,504 is 11088.

GCF of Denominators means GCF of 422,169,193 as per the given fractions.

GCF of 422,169,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,176,504

LCM of Fractions 99/422,176/169,504/193 is 11088

2 99, 176, 504
2 99, 88, 252
2 99, 44, 126
3 99, 22, 63
3 33, 22, 21
11 11, 22, 7
1, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 1 x 2 x 7 = 11088

Least Common Multiple of 99,176,504 with GCF Formula

Least Common Multiple of 99,176,504 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 99,176,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,176,504) = 1

common factors(in case of two or more numbers have common factors) = 792

GCF(99,176,504) x common factors =1 x 792 = 792

LCM(99,176,504) = ( 99 × 176 × 504 ) / 792

LCM(99,176,504) = 8781696 / 792

LCM(99,176,504) = 11088


Lets's calculate GCF of 422,169,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11088/1

Therefore the LCM of Fractions 99/422,176/169,504/193 is 11088

Greatest Common Factor of 422,169,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,169,193 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 422,169,193 . The biggest common factor number is the GCF number.
So the greatest common factor 422,169,193 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 99/422, 176/169, 504/193

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 99/422, 176/169, 504/193?

Answer: LCM of Numerators as per given numbers 99/422, 176/169, 504/193 is

LCM of Numerators i.e. for 99,176,504 is 11088

GCF of denominators i.e. for 422,169,193 is 1.

Thus, LCM of Fractions is 11088.Finally, LCM of Fractions for 99/422, 176/169, 504/193 is 11088.