Least Common Multiple of 174/99, 822/5773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/99, 822/5773 quickly i.e. 23838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/99, 822/5773 is 23838.

LCM(174/99, 822/5773) = 23838

LCM of 174/99, 822/5773

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 174/99,822/5773

Given numbers are 174/99,822/5773

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 174,822

Least Common Multiple of Numerators i.e. LCM of 174,822 is 23838.

GCF of Denominators means GCF of 99,5773 as per the given fractions.

GCF of 99,5773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,822

LCM of Fractions 174/99,822/5773 is 23838

2 174, 822
3 87, 411
29, 137

∴ So the LCM of the given numbers is 2 x 3 x 29 x 137 = 23838

Least Common Multiple of 174,822 with GCF Formula

Least Common Multiple of 174,822 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 174,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,822) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(174,822) x common factors =6 x 1 = 6

LCM(174,822) = ( 174 × 822 ) / 6

LCM(174,822) = 143028 / 6

LCM(174,822) = 23838


Lets's calculate GCF of 99,5773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23838/1

Therefore the LCM of Fractions 174/99,822/5773 is 23838

Greatest Common Factor of 99,5773 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,5773 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 5773

List of positive integer factors of 5773 that divides 5773 without a remainder.

1,23,251,5773

Greatest Common Factor

We found the factors 99,5773 . The biggest common factor number is the GCF number.
So the greatest common factor 99,5773 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 174/99, 822/5773

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 174/99, 822/5773?

Answer: LCM of Numerators as per given numbers 174/99, 822/5773 is

LCM of Numerators i.e. for 174,822 is 23838

GCF of denominators i.e. for 99,5773 is 1.

Thus, LCM of Fractions is 23838.Finally, LCM of Fractions for 174/99, 822/5773 is 23838.