Least Common Multiple of 164/79, 213/3076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/79, 213/3076 quickly i.e. 34932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/79, 213/3076 is 34932.

LCM(164/79, 213/3076) = 34932

LCM of 164/79, 213/3076

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 164/79,213/3076

Given numbers are 164/79,213/3076

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 164,213

Least Common Multiple of Numerators i.e. LCM of 164,213 is 34932.

GCF of Denominators means GCF of 79,3076 as per the given fractions.

GCF of 79,3076 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,213

LCM of Fractions 164/79,213/3076 is 34932

Given numbers has no common factors except 1. So, there LCM is their product i.e 34932

Least Common Multiple of 164,213 with GCF Formula

Least Common Multiple of 164,213 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 164,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,213) = 1

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

GCF(164,213) x common factors =1 x 1 = 1

LCM(164,213) = ( 164 × 213 ) / 1

LCM(164,213) = 34932 / 1

LCM(164,213) = 34932


Lets's calculate GCF of 79,3076

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34932/1

Therefore the LCM of Fractions 164/79,213/3076 is 34932

Greatest Common Factor of 79,3076 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,3076 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 3076

List of positive integer factors of 3076 that divides 3076 without a remainder.

1,2,4,769,1538,3076

Greatest Common Factor

We found the factors 79,3076 . The biggest common factor number is the GCF number.
So the greatest common factor 79,3076 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 164/79, 213/3076

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 164/79, 213/3076?

Answer: LCM of Numerators as per given numbers 164/79, 213/3076 is

LCM of Numerators i.e. for 164,213 is 34932

GCF of denominators i.e. for 79,3076 is 1.

Thus, LCM of Fractions is 34932.Finally, LCM of Fractions for 164/79, 213/3076 is 34932.