Least Common Multiple of 65/39, 465/89, 787/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/39, 465/89, 787/696 quickly i.e. 4757415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/39, 465/89, 787/696 is 4757415.

LCM(65/39, 465/89, 787/696) = 4757415

LCM of 65/39, 465/89, 787/696

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 65/39,465/89,787/696

Given numbers are 65/39,465/89,787/696

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 65,465,787

Least Common Multiple of Numerators i.e. LCM of 65,465,787 is 4757415.

GCF of Denominators means GCF of 39,89,696 as per the given fractions.

GCF of 39,89,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,465,787

LCM of Fractions 65/39,465/89,787/696 is 4757415

5 65, 465, 787
13, 93, 787

∴ So the LCM of the given numbers is 5 x 13 x 93 x 787 = 4757415

Least Common Multiple of 65,465,787 with GCF Formula

Least Common Multiple of 65,465,787 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 65,465,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,465,787) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,465,787) x common factors =1 x 5 = 5

LCM(65,465,787) = ( 65 × 465 × 787 ) / 5

LCM(65,465,787) = 23787075 / 5

LCM(65,465,787) = 4757415


Lets's calculate GCF of 39,89,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4757415/1

Therefore the LCM of Fractions 65/39,465/89,787/696 is 4757415

Greatest Common Factor of 39,89,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,89,696 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 39,89,696 . The biggest common factor number is the GCF number.
So the greatest common factor 39,89,696 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 65/39, 465/89, 787/696

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 65/39, 465/89, 787/696?

Answer: LCM of Numerators as per given numbers 65/39, 465/89, 787/696 is

LCM of Numerators i.e. for 65,465,787 is 4757415

GCF of denominators i.e. for 39,89,696 is 1.

Thus, LCM of Fractions is 4757415.Finally, LCM of Fractions for 65/39, 465/89, 787/696 is 4757415.