Least Common Multiple of 29/715, 15/777, 475/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/715, 15/777, 475/396 quickly i.e. 41325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/715, 15/777, 475/396 is 41325.

LCM(29/715, 15/777, 475/396) = 41325

LCM of 29/715, 15/777, 475/396

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 29/715,15/777,475/396

Given numbers are 29/715,15/777,475/396

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 29,15,475

Least Common Multiple of Numerators i.e. LCM of 29,15,475 is 41325.

GCF of Denominators means GCF of 715,777,396 as per the given fractions.

GCF of 715,777,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,15,475

LCM of Fractions 29/715,15/777,475/396 is 41325

5 29, 15, 475
29, 3, 95

∴ So the LCM of the given numbers is 5 x 29 x 3 x 95 = 41325

Least Common Multiple of 29,15,475 with GCF Formula

Least Common Multiple of 29,15,475 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 29,15,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,15,475) = 1

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

GCF(29,15,475) x common factors =1 x 5 = 5

LCM(29,15,475) = ( 29 × 15 × 475 ) / 5

LCM(29,15,475) = 206625 / 5

LCM(29,15,475) = 41325


Lets's calculate GCF of 715,777,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41325/1

Therefore the LCM of Fractions 29/715,15/777,475/396 is 41325

Greatest Common Factor of 715,777,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,777,396 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 715,777,396 . The biggest common factor number is the GCF number.
So the greatest common factor 715,777,396 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 29/715, 15/777, 475/396

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 29/715, 15/777, 475/396?

Answer: LCM of Numerators as per given numbers 29/715, 15/777, 475/396 is

LCM of Numerators i.e. for 29,15,475 is 41325

GCF of denominators i.e. for 715,777,396 is 1.

Thus, LCM of Fractions is 41325.Finally, LCM of Fractions for 29/715, 15/777, 475/396 is 41325.