Least Common Multiple of 829/45, 221/7990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/45, 221/7990 quickly i.e. 183209/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/45, 221/7990 is 183209/5.

LCM(829/45, 221/7990) = 183209/5

LCM of 829/45, 221/7990

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 829/45,221/7990

Given numbers are 829/45,221/7990

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 829,221

Least Common Multiple of Numerators i.e. LCM of 829,221 is 183209.

GCF of Denominators means GCF of 45,7990 as per the given fractions.

GCF of 45,7990 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,221

LCM of Fractions 829/45,221/7990 is 183209/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 183209

Least Common Multiple of 829,221 with GCF Formula

Least Common Multiple of 829,221 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 829,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,221) = 1

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

GCF(829,221) x common factors =1 x 1 = 1

LCM(829,221) = ( 829 × 221 ) / 1

LCM(829,221) = 183209 / 1

LCM(829,221) = 183209


Lets's calculate GCF of 45,7990

5 45, 7990
9, 1598

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183209/5

Therefore the LCM of Fractions 829/45,221/7990 is 183209/5

Greatest Common Factor of 45,7990 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,7990 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Greatest Common Factor

We found the factors 45,7990 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7990 is 5.


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 829/45, 221/7990

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 829/45, 221/7990?

Answer: LCM of Numerators as per given numbers 829/45, 221/7990 is

LCM of Numerators i.e. for 829,221 is 183209

GCF of denominators i.e. for 45,7990 is 5.

Thus, LCM of Fractions is 183209/5.Finally, LCM of Fractions for 829/45, 221/7990 is 183209/5.