Least Common Multiple of 8684/97, 2470/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8684/97, 2470/271 quickly i.e. 824980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8684/97, 2470/271 is 824980.

LCM(8684/97, 2470/271) = 824980

LCM of 8684/97, 2470/271

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 8684/97,2470/271

Given numbers are 8684/97,2470/271

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 8684,2470

Least Common Multiple of Numerators i.e. LCM of 8684,2470 is 824980.

GCF of Denominators means GCF of 97,271 as per the given fractions.

GCF of 97,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8684,2470

LCM of Fractions 8684/97,2470/271 is 824980

2 8684, 2470
13 4342, 1235
334, 95

∴ So the LCM of the given numbers is 2 x 13 x 334 x 95 = 824980

Least Common Multiple of 8684,2470 with GCF Formula

Least Common Multiple of 8684,2470 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 8684,2470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8684,2470) = 26

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

GCF(8684,2470) x common factors =26 x 1 = 26

LCM(8684,2470) = ( 8684 × 2470 ) / 26

LCM(8684,2470) = 21449480 / 26

LCM(8684,2470) = 824980


Lets's calculate GCF of 97,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824980/1

Therefore the LCM of Fractions 8684/97,2470/271 is 824980

Greatest Common Factor of 97,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,271 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 97,271 . The biggest common factor number is the GCF number.
So the greatest common factor 97,271 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 8684/97, 2470/271

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 8684/97, 2470/271?

Answer: LCM of Numerators as per given numbers 8684/97, 2470/271 is

LCM of Numerators i.e. for 8684,2470 is 824980

GCF of denominators i.e. for 97,271 is 1.

Thus, LCM of Fractions is 824980.Finally, LCM of Fractions for 8684/97, 2470/271 is 824980.