Least Common Multiple of 65/28, 62/216, 366/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/28, 62/216, 366/334 quickly i.e. 368745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/28, 62/216, 366/334 is 368745.

LCM(65/28, 62/216, 366/334) = 368745

LCM of 65/28, 62/216, 366/334

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 65/28,62/216,366/334

Given numbers are 65/28,62/216,366/334

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 65,62,366

Least Common Multiple of Numerators i.e. LCM of 65,62,366 is 737490.

GCF of Denominators means GCF of 28,216,334 as per the given fractions.

GCF of 28,216,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,62,366

LCM of Fractions 65/28,62/216,366/334 is 368745

2 65, 62, 366
65, 31, 183

∴ So the LCM of the given numbers is 2 x 65 x 31 x 183 = 737490

Least Common Multiple of 65,62,366 with GCF Formula

Least Common Multiple of 65,62,366 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 65,62,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,62,366) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,62,366) x common factors =1 x 2 = 2

LCM(65,62,366) = ( 65 × 62 × 366 ) / 2

LCM(65,62,366) = 1474980 / 2

LCM(65,62,366) = 737490


Lets's calculate GCF of 28,216,334

2 28, 216, 334
14, 108, 167

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737490/2

Therefore the LCM of Fractions 65/28,62/216,366/334 is 368745

Greatest Common Factor of 28,216,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,216,334 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

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 28,216,334 . The biggest common factor number is the GCF number.
So the greatest common factor 28,216,334 is 2.


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 65/28, 62/216, 366/334

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 65/28, 62/216, 366/334?

Answer: LCM of Numerators as per given numbers 65/28, 62/216, 366/334 is

LCM of Numerators i.e. for 65,62,366 is 737490

GCF of denominators i.e. for 28,216,334 is 2.

Thus, LCM of Fractions is 368745.Finally, LCM of Fractions for 65/28, 62/216, 366/334 is 368745.