Least Common Multiple of 97/684, 2273/9669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/684, 2273/9669 quickly i.e. 220481/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/684, 2273/9669 is 220481/3.

LCM(97/684, 2273/9669) = 220481/3

LCM of 97/684, 2273/9669

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 97/684,2273/9669

Given numbers are 97/684,2273/9669

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 97,2273

Least Common Multiple of Numerators i.e. LCM of 97,2273 is 220481.

GCF of Denominators means GCF of 684,9669 as per the given fractions.

GCF of 684,9669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,2273

LCM of Fractions 97/684,2273/9669 is 220481/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 220481

Least Common Multiple of 97,2273 with GCF Formula

Least Common Multiple of 97,2273 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 97,2273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,2273) = 1

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

GCF(97,2273) x common factors =1 x 1 = 1

LCM(97,2273) = ( 97 × 2273 ) / 1

LCM(97,2273) = 220481 / 1

LCM(97,2273) = 220481


Lets's calculate GCF of 684,9669

3 684, 9669
228, 3223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220481/3

Therefore the LCM of Fractions 97/684,2273/9669 is 220481/3

Greatest Common Factor of 684,9669 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,9669 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1,3,11,33,293,879,3223,9669

Greatest Common Factor

We found the factors 684,9669 . The biggest common factor number is the GCF number.
So the greatest common factor 684,9669 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 97/684, 2273/9669

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 97/684, 2273/9669?

Answer: LCM of Numerators as per given numbers 97/684, 2273/9669 is

LCM of Numerators i.e. for 97,2273 is 220481

GCF of denominators i.e. for 684,9669 is 3.

Thus, LCM of Fractions is 220481/3.Finally, LCM of Fractions for 97/684, 2273/9669 is 220481/3.