Least Common Multiple of 29/32, 474/25, 983/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/32, 474/25, 983/255 quickly i.e. 13512318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/32, 474/25, 983/255 is 13512318.

LCM(29/32, 474/25, 983/255) = 13512318

LCM of 29/32, 474/25, 983/255

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 29/32,474/25,983/255

Given numbers are 29/32,474/25,983/255

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 29,474,983

Least Common Multiple of Numerators i.e. LCM of 29,474,983 is 13512318.

GCF of Denominators means GCF of 32,25,255 as per the given fractions.

GCF of 32,25,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,474,983

LCM of Fractions 29/32,474/25,983/255 is 13512318

Given numbers has no common factors except 1. So, there LCM is their product i.e 13512318

Least Common Multiple of 29,474,983 with GCF Formula

Least Common Multiple of 29,474,983 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 29,474,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,474,983) = 1

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

GCF(29,474,983) x common factors =1 x 1 = 1

LCM(29,474,983) = ( 29 × 474 × 983 ) / 1

LCM(29,474,983) = 13512318 / 1

LCM(29,474,983) = 13512318


Lets's calculate GCF of 32,25,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13512318/1

Therefore the LCM of Fractions 29/32,474/25,983/255 is 13512318

Greatest Common Factor of 32,25,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,25,255 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 32,25,255 . The biggest common factor number is the GCF number.
So the greatest common factor 32,25,255 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/32, 474/25, 983/255

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 29/32, 474/25, 983/255?

Answer: LCM of Numerators as per given numbers 29/32, 474/25, 983/255 is

LCM of Numerators i.e. for 29,474,983 is 13512318

GCF of denominators i.e. for 32,25,255 is 1.

Thus, LCM of Fractions is 13512318.Finally, LCM of Fractions for 29/32, 474/25, 983/255 is 13512318.