Least Common Multiple of 65/46, 537/10, 396/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/46, 537/10, 396/280 quickly i.e. 2303730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/46, 537/10, 396/280 is 2303730.

LCM(65/46, 537/10, 396/280) = 2303730

LCM of 65/46, 537/10, 396/280

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 65/46,537/10,396/280

Given numbers are 65/46,537/10,396/280

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 65,537,396

Least Common Multiple of Numerators i.e. LCM of 65,537,396 is 4607460.

GCF of Denominators means GCF of 46,10,280 as per the given fractions.

GCF of 46,10,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,537,396

LCM of Fractions 65/46,537/10,396/280 is 2303730

3 65, 537, 396
65, 179, 132

∴ So the LCM of the given numbers is 3 x 65 x 179 x 132 = 4607460

Least Common Multiple of 65,537,396 with GCF Formula

Least Common Multiple of 65,537,396 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 65,537,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,537,396) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(65,537,396) x common factors =1 x 3 = 3

LCM(65,537,396) = ( 65 × 537 × 396 ) / 3

LCM(65,537,396) = 13822380 / 3

LCM(65,537,396) = 4607460


Lets's calculate GCF of 46,10,280

2 46, 10, 280
23, 5, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4607460/2

Therefore the LCM of Fractions 65/46,537/10,396/280 is 2303730

Greatest Common Factor of 46,10,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,10,280 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 46,10,280 . The biggest common factor number is the GCF number.
So the greatest common factor 46,10,280 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 65/46, 537/10, 396/280

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 65/46, 537/10, 396/280?

Answer: LCM of Numerators as per given numbers 65/46, 537/10, 396/280 is

LCM of Numerators i.e. for 65,537,396 is 4607460

GCF of denominators i.e. for 46,10,280 is 2.

Thus, LCM of Fractions is 2303730.Finally, LCM of Fractions for 65/46, 537/10, 396/280 is 2303730.