Least Common Multiple of 3149/969, 4565/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3149/969, 4565/444 quickly i.e. 14375185/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3149/969, 4565/444 is 14375185/3.

LCM(3149/969, 4565/444) = 14375185/3

LCM of 3149/969, 4565/444

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 3149/969,4565/444

Given numbers are 3149/969,4565/444

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 3149,4565

Least Common Multiple of Numerators i.e. LCM of 3149,4565 is 14375185.

GCF of Denominators means GCF of 969,444 as per the given fractions.

GCF of 969,444 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3149,4565

LCM of Fractions 3149/969,4565/444 is 14375185/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 14375185

Least Common Multiple of 3149,4565 with GCF Formula

Least Common Multiple of 3149,4565 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 3149,4565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3149,4565) = 1

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

GCF(3149,4565) x common factors =1 x 1 = 1

LCM(3149,4565) = ( 3149 × 4565 ) / 1

LCM(3149,4565) = 14375185 / 1

LCM(3149,4565) = 14375185


Lets's calculate GCF of 969,444

3 969, 444
323, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14375185/3

Therefore the LCM of Fractions 3149/969,4565/444 is 14375185/3

Greatest Common Factor of 969,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,444 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 969,444 . The biggest common factor number is the GCF number.
So the greatest common factor 969,444 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 3149/969, 4565/444

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 3149/969, 4565/444?

Answer: LCM of Numerators as per given numbers 3149/969, 4565/444 is

LCM of Numerators i.e. for 3149,4565 is 14375185

GCF of denominators i.e. for 969,444 is 3.

Thus, LCM of Fractions is 14375185/3.Finally, LCM of Fractions for 3149/969, 4565/444 is 14375185/3.