Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/665, 98/877, 349/453 quickly i.e. 410424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/665, 98/877, 349/453 is 410424.
LCM(24/665, 98/877, 349/453) = 410424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/665,98/877,349/453
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 24,98,349
Least Common Multiple of Numerators i.e. LCM of 24,98,349 is 410424.
GCF of Denominators means GCF of 665,877,453 as per the given fractions.
GCF of 665,877,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,98,349
2 | 24, 98, 349 |
12, 49, 349 |
∴ So the LCM of the given numbers is 2 x 12 x 49 x 349 = 410424
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 24,98,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,98,349) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(24,98,349) x common factors =1 x 2 = 2
LCM(24,98,349) = ( 24 × 98 × 349 ) / 2
LCM(24,98,349) = 820848 / 2
LCM(24,98,349) = 410424
Lets's calculate GCF of 665,877,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410424/1
Therefore the LCM of Fractions 24/665,98/877,349/453 is 410424
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 665,877,453 . The biggest common factor number is the GCF number.
So the greatest common factor 665,877,453 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 24/665, 98/877, 349/453?
Answer: LCM of Numerators as per given numbers 24/665, 98/877, 349/453 is
LCM of Numerators i.e. for 24,98,349 is 410424
GCF of denominators i.e. for 665,877,453 is 1.
Thus, LCM of Fractions is 410424.Finally, LCM of Fractions for 24/665, 98/877, 349/453 is 410424.