Least Common Multiple of 8897/345, 3210/9708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8897/345, 3210/9708 quickly i.e. 9519790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8897/345, 3210/9708 is 9519790.

LCM(8897/345, 3210/9708) = 9519790

LCM of 8897/345, 3210/9708

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 8897/345,3210/9708

Given numbers are 8897/345,3210/9708

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 8897,3210

Least Common Multiple of Numerators i.e. LCM of 8897,3210 is 28559370.

GCF of Denominators means GCF of 345,9708 as per the given fractions.

GCF of 345,9708 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8897,3210

LCM of Fractions 8897/345,3210/9708 is 9519790

Given numbers has no common factors except 1. So, there LCM is their product i.e 28559370

Least Common Multiple of 8897,3210 with GCF Formula

Least Common Multiple of 8897,3210 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 8897,3210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8897,3210) = 1

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

GCF(8897,3210) x common factors =1 x 1 = 1

LCM(8897,3210) = ( 8897 × 3210 ) / 1

LCM(8897,3210) = 28559370 / 1

LCM(8897,3210) = 28559370


Lets's calculate GCF of 345,9708

3 345, 9708
115, 3236

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28559370/3

Therefore the LCM of Fractions 8897/345,3210/9708 is 9519790

Greatest Common Factor of 345,9708 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,9708 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors 345,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 345,9708 is 3.


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 8897/345, 3210/9708

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 8897/345, 3210/9708?

Answer: LCM of Numerators as per given numbers 8897/345, 3210/9708 is

LCM of Numerators i.e. for 8897,3210 is 28559370

GCF of denominators i.e. for 345,9708 is 3.

Thus, LCM of Fractions is 9519790.Finally, LCM of Fractions for 8897/345, 3210/9708 is 9519790.