Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/290, 80/679, 62/524 quickly i.e. 22320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/290, 80/679, 62/524 is 22320.
LCM(9/290, 80/679, 62/524) = 22320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/290,80/679,62/524
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 9,80,62
Least Common Multiple of Numerators i.e. LCM of 9,80,62 is 22320.
GCF of Denominators means GCF of 290,679,524 as per the given fractions.
GCF of 290,679,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,80,62
2 | 9, 80, 62 |
9, 40, 31 |
∴ So the LCM of the given numbers is 2 x 9 x 40 x 31 = 22320
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 9,80,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,80,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(9,80,62) x common factors =1 x 2 = 2
LCM(9,80,62) = ( 9 × 80 × 62 ) / 2
LCM(9,80,62) = 44640 / 2
LCM(9,80,62) = 22320
Lets's calculate GCF of 290,679,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22320/1
Therefore the LCM of Fractions 9/290,80/679,62/524 is 22320
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 290,679,524 . The biggest common factor number is the GCF number.
So the greatest common factor 290,679,524 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 9/290, 80/679, 62/524?
Answer: LCM of Numerators as per given numbers 9/290, 80/679, 62/524 is
LCM of Numerators i.e. for 9,80,62 is 22320
GCF of denominators i.e. for 290,679,524 is 1.
Thus, LCM of Fractions is 22320.Finally, LCM of Fractions for 9/290, 80/679, 62/524 is 22320.