Least Common Multiple of 29/755, 35/660, 999/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/755, 35/660, 999/480 quickly i.e. 202797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/755, 35/660, 999/480 is 202797.

LCM(29/755, 35/660, 999/480) = 202797

LCM of 29/755, 35/660, 999/480

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 29/755,35/660,999/480

Given numbers are 29/755,35/660,999/480

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 29,35,999

Least Common Multiple of Numerators i.e. LCM of 29,35,999 is 1013985.

GCF of Denominators means GCF of 755,660,480 as per the given fractions.

GCF of 755,660,480 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,35,999

LCM of Fractions 29/755,35/660,999/480 is 202797

Given numbers has no common factors except 1. So, there LCM is their product i.e 1013985

Least Common Multiple of 29,35,999 with GCF Formula

Least Common Multiple of 29,35,999 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 29,35,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,35,999) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,35,999) x common factors =1 x 1 = 1

LCM(29,35,999) = ( 29 × 35 × 999 ) / 1

LCM(29,35,999) = 1013985 / 1

LCM(29,35,999) = 1013985


Lets's calculate GCF of 755,660,480

5 755, 660, 480
151, 132, 96

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013985/5

Therefore the LCM of Fractions 29/755,35/660,999/480 is 202797

Greatest Common Factor of 755,660,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,660,480 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 755,660,480 . The biggest common factor number is the GCF number.
So the greatest common factor 755,660,480 is 5.


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 29/755, 35/660, 999/480

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 29/755, 35/660, 999/480?

Answer: LCM of Numerators as per given numbers 29/755, 35/660, 999/480 is

LCM of Numerators i.e. for 29,35,999 is 1013985

GCF of denominators i.e. for 755,660,480 is 5.

Thus, LCM of Fractions is 202797.Finally, LCM of Fractions for 29/755, 35/660, 999/480 is 202797.