Least Common Multiple of 164/31, 459/9860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/31, 459/9860 quickly i.e. 75276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/31, 459/9860 is 75276.

LCM(164/31, 459/9860) = 75276

LCM of 164/31, 459/9860

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 164/31,459/9860

Given numbers are 164/31,459/9860

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 164,459

Least Common Multiple of Numerators i.e. LCM of 164,459 is 75276.

GCF of Denominators means GCF of 31,9860 as per the given fractions.

GCF of 31,9860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,459

LCM of Fractions 164/31,459/9860 is 75276

Given numbers has no common factors except 1. So, there LCM is their product i.e 75276

Least Common Multiple of 164,459 with GCF Formula

Least Common Multiple of 164,459 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 164,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,459) = 1

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

GCF(164,459) x common factors =1 x 1 = 1

LCM(164,459) = ( 164 × 459 ) / 1

LCM(164,459) = 75276 / 1

LCM(164,459) = 75276


Lets's calculate GCF of 31,9860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75276/1

Therefore the LCM of Fractions 164/31,459/9860 is 75276

Greatest Common Factor of 31,9860 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,9860 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860

Greatest Common Factor

We found the factors 31,9860 . The biggest common factor number is the GCF number.
So the greatest common factor 31,9860 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 164/31, 459/9860

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 164/31, 459/9860?

Answer: LCM of Numerators as per given numbers 164/31, 459/9860 is

LCM of Numerators i.e. for 164,459 is 75276

GCF of denominators i.e. for 31,9860 is 1.

Thus, LCM of Fractions is 75276.Finally, LCM of Fractions for 164/31, 459/9860 is 75276.