Least Common Multiple of 3223/945, 2283/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3223/945, 2283/567 quickly i.e. 7358109/189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3223/945, 2283/567 is 7358109/189.

LCM(3223/945, 2283/567) = 7358109/189

LCM of 3223/945, 2283/567

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 3223/945,2283/567

Given numbers are 3223/945,2283/567

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 3223,2283

Least Common Multiple of Numerators i.e. LCM of 3223,2283 is 7358109.

GCF of Denominators means GCF of 945,567 as per the given fractions.

GCF of 945,567 is 189 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3223,2283

LCM of Fractions 3223/945,2283/567 is 7358109/189

Given numbers has no common factors except 1. So, there LCM is their product i.e 7358109

Least Common Multiple of 3223,2283 with GCF Formula

Least Common Multiple of 3223,2283 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 3223,2283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3223,2283) = 1

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

GCF(3223,2283) x common factors =1 x 1 = 1

LCM(3223,2283) = ( 3223 × 2283 ) / 1

LCM(3223,2283) = 7358109 / 1

LCM(3223,2283) = 7358109


Lets's calculate GCF of 945,567

3 945, 567
3 315, 189
3 105, 63
7 35, 21
5, 3

∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7358109/189

Therefore the LCM of Fractions 3223/945,2283/567 is 7358109/189

Greatest Common Factor of 945,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,567 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 945,567 . The biggest common factor number is the GCF number.
So the greatest common factor 945,567 is 189.


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 3223/945, 2283/567

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 3223/945, 2283/567?

Answer: LCM of Numerators as per given numbers 3223/945, 2283/567 is

LCM of Numerators i.e. for 3223,2283 is 7358109

GCF of denominators i.e. for 945,567 is 189.

Thus, LCM of Fractions is 7358109/189.Finally, LCM of Fractions for 3223/945, 2283/567 is 7358109/189.