Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/565, 96/221, 720/988 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/565, 96/221, 720/988 is 24480.
LCM(34/565, 96/221, 720/988) = 24480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/565,96/221,720/988
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 34,96,720
Least Common Multiple of Numerators i.e. LCM of 34,96,720 is 24480.
GCF of Denominators means GCF of 565,221,988 as per the given fractions.
GCF of 565,221,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,96,720
2 | 34, 96, 720 |
2 | 17, 48, 360 |
2 | 17, 24, 180 |
2 | 17, 12, 90 |
3 | 17, 6, 45 |
17, 2, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 2 x 15 = 24480
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 34,96,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,96,720) = 2
common factors(in case of two or more numbers have common factors) = 48
GCF(34,96,720) x common factors =2 x 48 = 96
LCM(34,96,720) = ( 34 × 96 × 720 ) / 96
LCM(34,96,720) = 2350080 / 96
LCM(34,96,720) = 24480
Lets's calculate GCF of 565,221,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1
Therefore the LCM of Fractions 34/565,96/221,720/988 is 24480
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 565,221,988 . The biggest common factor number is the GCF number.
So the greatest common factor 565,221,988 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 34/565, 96/221, 720/988?
Answer: LCM of Numerators as per given numbers 34/565, 96/221, 720/988 is
LCM of Numerators i.e. for 34,96,720 is 24480
GCF of denominators i.e. for 565,221,988 is 1.
Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 34/565, 96/221, 720/988 is 24480.