Least Common Multiple of 29/410, 96/467, 480/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/410, 96/467, 480/983 quickly i.e. 13920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/410, 96/467, 480/983 is 13920.

LCM(29/410, 96/467, 480/983) = 13920

LCM of 29/410, 96/467, 480/983

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 29/410,96/467,480/983

Given numbers are 29/410,96/467,480/983

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 29,96,480

Least Common Multiple of Numerators i.e. LCM of 29,96,480 is 13920.

GCF of Denominators means GCF of 410,467,983 as per the given fractions.

GCF of 410,467,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,96,480

LCM of Fractions 29/410,96/467,480/983 is 13920

2 29, 96, 480
2 29, 48, 240
2 29, 24, 120
2 29, 12, 60
2 29, 6, 30
3 29, 3, 15
29, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 29 x 1 x 5 = 13920

Least Common Multiple of 29,96,480 with GCF Formula

Least Common Multiple of 29,96,480 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 29,96,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,96,480) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(29,96,480) x common factors =1 x 96 = 96

LCM(29,96,480) = ( 29 × 96 × 480 ) / 96

LCM(29,96,480) = 1336320 / 96

LCM(29,96,480) = 13920


Lets's calculate GCF of 410,467,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13920/1

Therefore the LCM of Fractions 29/410,96/467,480/983 is 13920

Greatest Common Factor of 410,467,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,467,983 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 410,467,983 . The biggest common factor number is the GCF number.
So the greatest common factor 410,467,983 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 29/410, 96/467, 480/983

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 29/410, 96/467, 480/983?

Answer: LCM of Numerators as per given numbers 29/410, 96/467, 480/983 is

LCM of Numerators i.e. for 29,96,480 is 13920

GCF of denominators i.e. for 410,467,983 is 1.

Thus, LCM of Fractions is 13920.Finally, LCM of Fractions for 29/410, 96/467, 480/983 is 13920.