Least Common Multiple of 77/24, 906/17, 449/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/24, 906/17, 449/353 quickly i.e. 31323138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/24, 906/17, 449/353 is 31323138.

LCM(77/24, 906/17, 449/353) = 31323138

LCM of 77/24, 906/17, 449/353

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 77/24,906/17,449/353

Given numbers are 77/24,906/17,449/353

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 77,906,449

Least Common Multiple of Numerators i.e. LCM of 77,906,449 is 31323138.

GCF of Denominators means GCF of 24,17,353 as per the given fractions.

GCF of 24,17,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,906,449

LCM of Fractions 77/24,906/17,449/353 is 31323138

Given numbers has no common factors except 1. So, there LCM is their product i.e 31323138

Least Common Multiple of 77,906,449 with GCF Formula

Least Common Multiple of 77,906,449 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 77,906,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,906,449) = 1

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

GCF(77,906,449) x common factors =1 x 1 = 1

LCM(77,906,449) = ( 77 × 906 × 449 ) / 1

LCM(77,906,449) = 31323138 / 1

LCM(77,906,449) = 31323138


Lets's calculate GCF of 24,17,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31323138/1

Therefore the LCM of Fractions 77/24,906/17,449/353 is 31323138

Greatest Common Factor of 24,17,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,17,353 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 24,17,353 . The biggest common factor number is the GCF number.
So the greatest common factor 24,17,353 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 77/24, 906/17, 449/353

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 77/24, 906/17, 449/353?

Answer: LCM of Numerators as per given numbers 77/24, 906/17, 449/353 is

LCM of Numerators i.e. for 77,906,449 is 31323138

GCF of denominators i.e. for 24,17,353 is 1.

Thus, LCM of Fractions is 31323138.Finally, LCM of Fractions for 77/24, 906/17, 449/353 is 31323138.