Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/962, 35/962 quickly i.e. 1645/962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/962, 35/962 is 1645/962.
LCM(47/962, 35/962) = 1645/962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/962,35/962
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 47,35
Least Common Multiple of Numerators i.e. LCM of 47,35 is 1645.
GCF of Denominators means GCF of 962,962 as per the given fractions.
GCF of 962,962 is 962 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 1645
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 47,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,35) x common factors =1 x 1 = 1
LCM(47,35) = ( 47 × 35 ) / 1
LCM(47,35) = 1645 / 1
LCM(47,35) = 1645
Lets's calculate GCF of 962,962
2 | 962, 962 |
13 | 481, 481 |
37 | 37, 37 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 13 x 37 = 962
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1645/962
Therefore the LCM of Fractions 47/962,35/962 is 1645/962
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 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 962,962 . The biggest common factor number is the GCF number.
So the greatest common factor 962,962 is 962.
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 47/962, 35/962?
Answer: LCM of Numerators as per given numbers 47/962, 35/962 is
LCM of Numerators i.e. for 47,35 is 1645
GCF of denominators i.e. for 962,962 is 962.
Thus, LCM of Fractions is 1645/962.Finally, LCM of Fractions for 47/962, 35/962 is 1645/962.