Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 158/16, 975/962 quickly i.e. 77025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 158/16, 975/962 is 77025.
LCM(158/16, 975/962) = 77025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 158/16,975/962
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 158,975
Least Common Multiple of Numerators i.e. LCM of 158,975 is 154050.
GCF of Denominators means GCF of 16,962 as per the given fractions.
GCF of 16,962 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 158,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 154050
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 158,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,975) x common factors =1 x 1 = 1
LCM(158,975) = ( 158 × 975 ) / 1
LCM(158,975) = 154050 / 1
LCM(158,975) = 154050
Lets's calculate GCF of 16,962
2 | 16, 962 |
8, 481 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154050/2
Therefore the LCM of Fractions 158/16,975/962 is 77025
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
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 16,962 . The biggest common factor number is the GCF number.
So the greatest common factor 16,962 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 158/16, 975/962?
Answer: LCM of Numerators as per given numbers 158/16, 975/962 is
LCM of Numerators i.e. for 158,975 is 154050
GCF of denominators i.e. for 16,962 is 2.
Thus, LCM of Fractions is 77025.Finally, LCM of Fractions for 158/16, 975/962 is 77025.