Least Common Multiple of 99/411, 135/169, 497/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/411, 135/169, 497/820 quickly i.e. 738045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/411, 135/169, 497/820 is 738045.

LCM(99/411, 135/169, 497/820) = 738045

LCM of 99/411, 135/169, 497/820

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 99/411,135/169,497/820

Given numbers are 99/411,135/169,497/820

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 99,135,497

Least Common Multiple of Numerators i.e. LCM of 99,135,497 is 738045.

GCF of Denominators means GCF of 411,169,820 as per the given fractions.

GCF of 411,169,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,135,497

LCM of Fractions 99/411,135/169,497/820 is 738045

3 99, 135, 497
3 33, 45, 497
11, 15, 497

∴ So the LCM of the given numbers is 3 x 3 x 11 x 15 x 497 = 738045

Least Common Multiple of 99,135,497 with GCF Formula

Least Common Multiple of 99,135,497 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 99,135,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,135,497) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,135,497) x common factors =1 x 9 = 9

LCM(99,135,497) = ( 99 × 135 × 497 ) / 9

LCM(99,135,497) = 6642405 / 9

LCM(99,135,497) = 738045


Lets's calculate GCF of 411,169,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 738045/1

Therefore the LCM of Fractions 99/411,135/169,497/820 is 738045

Greatest Common Factor of 411,169,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,169,820 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 169

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

1,13,169

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 411,169,820 . The biggest common factor number is the GCF number.
So the greatest common factor 411,169,820 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 99/411, 135/169, 497/820

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 99/411, 135/169, 497/820?

Answer: LCM of Numerators as per given numbers 99/411, 135/169, 497/820 is

LCM of Numerators i.e. for 99,135,497 is 738045

GCF of denominators i.e. for 411,169,820 is 1.

Thus, LCM of Fractions is 738045.Finally, LCM of Fractions for 99/411, 135/169, 497/820 is 738045.