Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/958, 825/710, 350/722 quickly i.e. 17325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/958, 825/710, 350/722 is 17325.
LCM(63/958, 825/710, 350/722) = 17325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/958,825/710,350/722
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 63,825,350
Least Common Multiple of Numerators i.e. LCM of 63,825,350 is 34650.
GCF of Denominators means GCF of 958,710,722 as per the given fractions.
GCF of 958,710,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,825,350
3 | 63, 825, 350 |
5 | 21, 275, 350 |
5 | 21, 55, 70 |
7 | 21, 11, 14 |
3, 11, 2 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 7 x 3 x 11 x 2 = 34650
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 63,825,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,825,350) = 1
common factors(in case of two or more numbers have common factors) = 525
GCF(63,825,350) x common factors =1 x 525 = 525
LCM(63,825,350) = ( 63 × 825 × 350 ) / 525
LCM(63,825,350) = 18191250 / 525
LCM(63,825,350) = 34650
Lets's calculate GCF of 958,710,722
2 | 958, 710, 722 |
479, 355, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34650/2
Therefore the LCM of Fractions 63/958,825/710,350/722 is 17325
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 958,710,722 . The biggest common factor number is the GCF number.
So the greatest common factor 958,710,722 is 2.
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 63/958, 825/710, 350/722?
Answer: LCM of Numerators as per given numbers 63/958, 825/710, 350/722 is
LCM of Numerators i.e. for 63,825,350 is 34650
GCF of denominators i.e. for 958,710,722 is 2.
Thus, LCM of Fractions is 17325.Finally, LCM of Fractions for 63/958, 825/710, 350/722 is 17325.