Least Common Multiple of 167/29, 493/5249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 167/29, 493/5249 quickly i.e. 2839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/29, 493/5249 is 2839.

LCM(167/29, 493/5249) = 2839

LCM of 167/29, 493/5249

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 167/29,493/5249

Given numbers are 167/29,493/5249

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 167,493

Least Common Multiple of Numerators i.e. LCM of 167,493 is 82331.

GCF of Denominators means GCF of 29,5249 as per the given fractions.

GCF of 29,5249 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,493

LCM of Fractions 167/29,493/5249 is 2839

Given numbers has no common factors except 1. So, there LCM is their product i.e 82331

Least Common Multiple of 167,493 with GCF Formula

Least Common Multiple of 167,493 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 167,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,493) = 1

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

GCF(167,493) x common factors =1 x 1 = 1

LCM(167,493) = ( 167 × 493 ) / 1

LCM(167,493) = 82331 / 1

LCM(167,493) = 82331


Lets's calculate GCF of 29,5249

29 29, 5249
1, 181

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82331/29

Therefore the LCM of Fractions 167/29,493/5249 is 2839

Greatest Common Factor of 29,5249 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,5249 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1,29,181,5249

Greatest Common Factor

We found the factors 29,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5249 is 29.


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 167/29, 493/5249

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 167/29, 493/5249?

Answer: LCM of Numerators as per given numbers 167/29, 493/5249 is

LCM of Numerators i.e. for 167,493 is 82331

GCF of denominators i.e. for 29,5249 is 29.

Thus, LCM of Fractions is 2839.Finally, LCM of Fractions for 167/29, 493/5249 is 2839.