Least Common Multiple of 65/45, 71/43, 61/24, 14/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/45, 71/43, 61/24, 14/334 quickly i.e. 3941210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/45, 71/43, 61/24, 14/334 is 3941210.

LCM(65/45, 71/43, 61/24, 14/334) = 3941210

LCM of 65/45, 71/43, 61/24, 14/334

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 65/45,71/43,61/24,14/334

Given numbers are 65/45,71/43,61/24,14/334

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 65,71,61,14

Least Common Multiple of Numerators i.e. LCM of 65,71,61,14 is 3941210.

GCF of Denominators means GCF of 45,43,24,334 as per the given fractions.

GCF of 45,43,24,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,71,61,14

LCM of Fractions 65/45,71/43,61/24,14/334 is 3941210

Given numbers has no common factors except 1. So, there LCM is their product i.e 3941210

Least Common Multiple of 65,71,61,14 with GCF Formula

Least Common Multiple of 65,71,61,14 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 65,71,61,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,71,61,14) = 1

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

GCF(65,71,61,14) x common factors =1 x 1 = 1

LCM(65,71,61,14) = ( 65 × 71 × 61 × 14 ) / 1

LCM(65,71,61,14) = 3941210 / 1

LCM(65,71,61,14) = 3941210


Lets's calculate GCF of 45,43,24,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3941210/1

Therefore the LCM of Fractions 65/45,71/43,61/24,14/334 is 3941210

Greatest Common Factor of 45,43,24,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,43,24,334 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 45,43,24,334 . The biggest common factor number is the GCF number.
So the greatest common factor 45,43,24,334 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 65/45, 71/43, 61/24, 14/334

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 65/45, 71/43, 61/24, 14/334?

Answer: LCM of Numerators as per given numbers 65/45, 71/43, 61/24, 14/334 is

LCM of Numerators i.e. for 65,71,61,14 is 3941210

GCF of denominators i.e. for 45,43,24,334 is 1.

Thus, LCM of Fractions is 3941210.Finally, LCM of Fractions for 65/45, 71/43, 61/24, 14/334 is 3941210.