Least Common Multiple of 343/33, 509/22, 189/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/33, 509/22, 189/965 quickly i.e. 4713849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/33, 509/22, 189/965 is 4713849.

LCM(343/33, 509/22, 189/965) = 4713849

LCM of 343/33, 509/22, 189/965

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 343/33,509/22,189/965

Given numbers are 343/33,509/22,189/965

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 343,509,189

Least Common Multiple of Numerators i.e. LCM of 343,509,189 is 4713849.

GCF of Denominators means GCF of 33,22,965 as per the given fractions.

GCF of 33,22,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,509,189

LCM of Fractions 343/33,509/22,189/965 is 4713849

7 343, 509, 189
49, 509, 27

∴ So the LCM of the given numbers is 7 x 49 x 509 x 27 = 4713849

Least Common Multiple of 343,509,189 with GCF Formula

Least Common Multiple of 343,509,189 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 343,509,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,509,189) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(343,509,189) x common factors =1 x 7 = 7

LCM(343,509,189) = ( 343 × 509 × 189 ) / 7

LCM(343,509,189) = 32996943 / 7

LCM(343,509,189) = 4713849


Lets's calculate GCF of 33,22,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4713849/1

Therefore the LCM of Fractions 343/33,509/22,189/965 is 4713849

Greatest Common Factor of 33,22,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,22,965 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 33,22,965 . The biggest common factor number is the GCF number.
So the greatest common factor 33,22,965 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 343/33, 509/22, 189/965

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 343/33, 509/22, 189/965?

Answer: LCM of Numerators as per given numbers 343/33, 509/22, 189/965 is

LCM of Numerators i.e. for 343,509,189 is 4713849

GCF of denominators i.e. for 33,22,965 is 1.

Thus, LCM of Fractions is 4713849.Finally, LCM of Fractions for 343/33, 509/22, 189/965 is 4713849.