Least Common Multiple of 10/64, 40/19, 65/48, 56/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/64, 40/19, 65/48, 56/618 quickly i.e. 3640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/64, 40/19, 65/48, 56/618 is 3640.

LCM(10/64, 40/19, 65/48, 56/618) = 3640

LCM of 10/64, 40/19, 65/48, 56/618

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 10/64,40/19,65/48,56/618

Given numbers are 10/64,40/19,65/48,56/618

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 10,40,65,56

Least Common Multiple of Numerators i.e. LCM of 10,40,65,56 is 3640.

GCF of Denominators means GCF of 64,19,48,618 as per the given fractions.

GCF of 64,19,48,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,40,65,56

LCM of Fractions 10/64,40/19,65/48,56/618 is 3640

2 10, 40, 65, 56
2 5, 20, 65, 28
2 5, 10, 65, 14
5 5, 5, 65, 7
1, 1, 13, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 13 x 7 = 3640

Least Common Multiple of 10,40,65,56 with GCF Formula

Least Common Multiple of 10,40,65,56 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 10,40,65,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,40,65,56) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(10,40,65,56) x common factors =1 x 400 = 400

LCM(10,40,65,56) = ( 10 × 40 × 65 × 56 ) / 400

LCM(10,40,65,56) = 1456000 / 400

LCM(10,40,65,56) = 3640


Lets's calculate GCF of 64,19,48,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3640/1

Therefore the LCM of Fractions 10/64,40/19,65/48,56/618 is 3640

Greatest Common Factor of 64,19,48,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,19,48,618 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 64,19,48,618 . The biggest common factor number is the GCF number.
So the greatest common factor 64,19,48,618 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 10/64, 40/19, 65/48, 56/618

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 10/64, 40/19, 65/48, 56/618?

Answer: LCM of Numerators as per given numbers 10/64, 40/19, 65/48, 56/618 is

LCM of Numerators i.e. for 10,40,65,56 is 3640

GCF of denominators i.e. for 64,19,48,618 is 1.

Thus, LCM of Fractions is 3640.Finally, LCM of Fractions for 10/64, 40/19, 65/48, 56/618 is 3640.