Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/962, 63/594, 28/434 quickly i.e. 630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/962, 63/594, 28/434 is 630.
LCM(5/962, 63/594, 28/434) = 630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/962,63/594,28/434
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 5,63,28
Least Common Multiple of Numerators i.e. LCM of 5,63,28 is 1260.
GCF of Denominators means GCF of 962,594,434 as per the given fractions.
GCF of 962,594,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,63,28
7 | 5, 63, 28 |
5, 9, 4 |
∴ So the LCM of the given numbers is 7 x 5 x 9 x 4 = 1260
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 5,63,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,63,28) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(5,63,28) x common factors =1 x 7 = 7
LCM(5,63,28) = ( 5 × 63 × 28 ) / 7
LCM(5,63,28) = 8820 / 7
LCM(5,63,28) = 1260
Lets's calculate GCF of 962,594,434
2 | 962, 594, 434 |
481, 297, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/2
Therefore the LCM of Fractions 5/962,63/594,28/434 is 630
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 962,594,434 . The biggest common factor number is the GCF number.
So the greatest common factor 962,594,434 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 5/962, 63/594, 28/434?
Answer: LCM of Numerators as per given numbers 5/962, 63/594, 28/434 is
LCM of Numerators i.e. for 5,63,28 is 1260
GCF of denominators i.e. for 962,594,434 is 2.
Thus, LCM of Fractions is 630.Finally, LCM of Fractions for 5/962, 63/594, 28/434 is 630.