Least Common Multiple of 65/728, 41/520, 864/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/728, 41/520, 864/262 quickly i.e. 1151280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/728, 41/520, 864/262 is 1151280.

LCM(65/728, 41/520, 864/262) = 1151280

LCM of 65/728, 41/520, 864/262

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 65/728,41/520,864/262

Given numbers are 65/728,41/520,864/262

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 65,41,864

Least Common Multiple of Numerators i.e. LCM of 65,41,864 is 2302560.

GCF of Denominators means GCF of 728,520,262 as per the given fractions.

GCF of 728,520,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,41,864

LCM of Fractions 65/728,41/520,864/262 is 1151280

Given numbers has no common factors except 1. So, there LCM is their product i.e 2302560

Least Common Multiple of 65,41,864 with GCF Formula

Least Common Multiple of 65,41,864 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 65,41,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,41,864) = 1

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

GCF(65,41,864) x common factors =1 x 1 = 1

LCM(65,41,864) = ( 65 × 41 × 864 ) / 1

LCM(65,41,864) = 2302560 / 1

LCM(65,41,864) = 2302560


Lets's calculate GCF of 728,520,262

2 728, 520, 262
364, 260, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2302560/2

Therefore the LCM of Fractions 65/728,41/520,864/262 is 1151280

Greatest Common Factor of 728,520,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,520,262 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 728,520,262 . The biggest common factor number is the GCF number.
So the greatest common factor 728,520,262 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 65/728, 41/520, 864/262

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 65/728, 41/520, 864/262?

Answer: LCM of Numerators as per given numbers 65/728, 41/520, 864/262 is

LCM of Numerators i.e. for 65,41,864 is 2302560

GCF of denominators i.e. for 728,520,262 is 2.

Thus, LCM of Fractions is 1151280.Finally, LCM of Fractions for 65/728, 41/520, 864/262 is 1151280.