Least Common Multiple of 35/164, 2680/5173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/164, 2680/5173 quickly i.e. 18760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/164, 2680/5173 is 18760.

LCM(35/164, 2680/5173) = 18760

LCM of 35/164, 2680/5173

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 35/164,2680/5173

Given numbers are 35/164,2680/5173

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 35,2680

Least Common Multiple of Numerators i.e. LCM of 35,2680 is 18760.

GCF of Denominators means GCF of 164,5173 as per the given fractions.

GCF of 164,5173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,2680

LCM of Fractions 35/164,2680/5173 is 18760

5 35, 2680
7, 536

∴ So the LCM of the given numbers is 5 x 7 x 536 = 18760

Least Common Multiple of 35,2680 with GCF Formula

Least Common Multiple of 35,2680 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 35,2680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,2680) = 5

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

GCF(35,2680) x common factors =5 x 1 = 5

LCM(35,2680) = ( 35 × 2680 ) / 5

LCM(35,2680) = 93800 / 5

LCM(35,2680) = 18760


Lets's calculate GCF of 164,5173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18760/1

Therefore the LCM of Fractions 35/164,2680/5173 is 18760

Greatest Common Factor of 164,5173 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,5173 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1,7,739,5173

Greatest Common Factor

We found the factors 164,5173 . The biggest common factor number is the GCF number.
So the greatest common factor 164,5173 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 35/164, 2680/5173

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 35/164, 2680/5173?

Answer: LCM of Numerators as per given numbers 35/164, 2680/5173 is

LCM of Numerators i.e. for 35,2680 is 18760

GCF of denominators i.e. for 164,5173 is 1.

Thus, LCM of Fractions is 18760.Finally, LCM of Fractions for 35/164, 2680/5173 is 18760.