Least Common Multiple of 29/366, 71/124, 989/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/366, 71/124, 989/489 quickly i.e. 2036351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/366, 71/124, 989/489 is 2036351.

LCM(29/366, 71/124, 989/489) = 2036351

LCM of 29/366, 71/124, 989/489

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 29/366,71/124,989/489

Given numbers are 29/366,71/124,989/489

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 29,71,989

Least Common Multiple of Numerators i.e. LCM of 29,71,989 is 2036351.

GCF of Denominators means GCF of 366,124,489 as per the given fractions.

GCF of 366,124,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,71,989

LCM of Fractions 29/366,71/124,989/489 is 2036351

Given numbers has no common factors except 1. So, there LCM is their product i.e 2036351

Least Common Multiple of 29,71,989 with GCF Formula

Least Common Multiple of 29,71,989 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 29,71,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,71,989) = 1

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

GCF(29,71,989) x common factors =1 x 1 = 1

LCM(29,71,989) = ( 29 × 71 × 989 ) / 1

LCM(29,71,989) = 2036351 / 1

LCM(29,71,989) = 2036351


Lets's calculate GCF of 366,124,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2036351/1

Therefore the LCM of Fractions 29/366,71/124,989/489 is 2036351

Greatest Common Factor of 366,124,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,124,489 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 366,124,489 . The biggest common factor number is the GCF number.
So the greatest common factor 366,124,489 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 29/366, 71/124, 989/489

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 29/366, 71/124, 989/489?

Answer: LCM of Numerators as per given numbers 29/366, 71/124, 989/489 is

LCM of Numerators i.e. for 29,71,989 is 2036351

GCF of denominators i.e. for 366,124,489 is 1.

Thus, LCM of Fractions is 2036351.Finally, LCM of Fractions for 29/366, 71/124, 989/489 is 2036351.