Least Common Multiple of 65/14, 65/56, 787/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/14, 65/56, 787/561 quickly i.e. 51155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/14, 65/56, 787/561 is 51155.

LCM(65/14, 65/56, 787/561) = 51155

LCM of 65/14, 65/56, 787/561

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 65/14,65/56,787/561

Given numbers are 65/14,65/56,787/561

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 65,65,787

Least Common Multiple of Numerators i.e. LCM of 65,65,787 is 51155.

GCF of Denominators means GCF of 14,56,561 as per the given fractions.

GCF of 14,56,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,65,787

LCM of Fractions 65/14,65/56,787/561 is 51155

5 65, 65, 787
13 13, 13, 787
1, 1, 787

∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 787 = 51155

Least Common Multiple of 65,65,787 with GCF Formula

Least Common Multiple of 65,65,787 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 65,65,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,65,787) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,65,787) x common factors =1 x 65 = 65

LCM(65,65,787) = ( 65 × 65 × 787 ) / 65

LCM(65,65,787) = 3325075 / 65

LCM(65,65,787) = 51155


Lets's calculate GCF of 14,56,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51155/1

Therefore the LCM of Fractions 65/14,65/56,787/561 is 51155

Greatest Common Factor of 14,56,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,56,561 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 14,56,561 . The biggest common factor number is the GCF number.
So the greatest common factor 14,56,561 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 65/14, 65/56, 787/561

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 65/14, 65/56, 787/561?

Answer: LCM of Numerators as per given numbers 65/14, 65/56, 787/561 is

LCM of Numerators i.e. for 65,65,787 is 51155

GCF of denominators i.e. for 14,56,561 is 1.

Thus, LCM of Fractions is 51155.Finally, LCM of Fractions for 65/14, 65/56, 787/561 is 51155.