Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/53, 919/10, 962/22 quickly i.e. 260803010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/53, 919/10, 962/22 is 260803010.
LCM(590/53, 919/10, 962/22) = 260803010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/53,919/10,962/22
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 590,919,962
Least Common Multiple of Numerators i.e. LCM of 590,919,962 is 260803010.
GCF of Denominators means GCF of 53,10,22 as per the given fractions.
GCF of 53,10,22 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,919,962
2 | 590, 919, 962 |
295, 919, 481 |
∴ So the LCM of the given numbers is 2 x 295 x 919 x 481 = 260803010
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 590,919,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,919,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(590,919,962) x common factors =1 x 2 = 2
LCM(590,919,962) = ( 590 × 919 × 962 ) / 2
LCM(590,919,962) = 521606020 / 2
LCM(590,919,962) = 260803010
Lets's calculate GCF of 53,10,22
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260803010/1
Therefore the LCM of Fractions 590/53,919/10,962/22 is 260803010
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 53,10,22 . The biggest common factor number is the GCF number.
So the greatest common factor 53,10,22 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 590/53, 919/10, 962/22?
Answer: LCM of Numerators as per given numbers 590/53, 919/10, 962/22 is
LCM of Numerators i.e. for 590,919,962 is 260803010
GCF of denominators i.e. for 53,10,22 is 1.
Thus, LCM of Fractions is 260803010.Finally, LCM of Fractions for 590/53, 919/10, 962/22 is 260803010.