Least Common Multiple of 476/89, 459/81, 474/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/89, 459/81, 474/983 quickly i.e. 1015308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/89, 459/81, 474/983 is 1015308.

LCM(476/89, 459/81, 474/983) = 1015308

LCM of 476/89, 459/81, 474/983

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 476/89,459/81,474/983

Given numbers are 476/89,459/81,474/983

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 476,459,474

Least Common Multiple of Numerators i.e. LCM of 476,459,474 is 1015308.

GCF of Denominators means GCF of 89,81,983 as per the given fractions.

GCF of 89,81,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,459,474

LCM of Fractions 476/89,459/81,474/983 is 1015308

2 476, 459, 474
3 238, 459, 237
17 238, 153, 79
14, 9, 79

∴ So the LCM of the given numbers is 2 x 3 x 17 x 14 x 9 x 79 = 1015308

Least Common Multiple of 476,459,474 with GCF Formula

Least Common Multiple of 476,459,474 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 476,459,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,459,474) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(476,459,474) x common factors =1 x 102 = 102

LCM(476,459,474) = ( 476 × 459 × 474 ) / 102

LCM(476,459,474) = 103561416 / 102

LCM(476,459,474) = 1015308


Lets's calculate GCF of 89,81,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1015308/1

Therefore the LCM of Fractions 476/89,459/81,474/983 is 1015308

Greatest Common Factor of 89,81,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,81,983 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

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 89,81,983 . The biggest common factor number is the GCF number.
So the greatest common factor 89,81,983 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 476/89, 459/81, 474/983

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 476/89, 459/81, 474/983?

Answer: LCM of Numerators as per given numbers 476/89, 459/81, 474/983 is

LCM of Numerators i.e. for 476,459,474 is 1015308

GCF of denominators i.e. for 89,81,983 is 1.

Thus, LCM of Fractions is 1015308.Finally, LCM of Fractions for 476/89, 459/81, 474/983 is 1015308.