Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8150/358, 8052/8430 quickly i.e. 16405950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8150/358, 8052/8430 is 16405950.
LCM(8150/358, 8052/8430) = 16405950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8150/358,8052/8430
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 8150,8052
Least Common Multiple of Numerators i.e. LCM of 8150,8052 is 32811900.
GCF of Denominators means GCF of 358,8430 as per the given fractions.
GCF of 358,8430 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8150,8052
2 | 8150, 8052 |
4075, 4026 |
∴ So the LCM of the given numbers is 2 x 4075 x 4026 = 32811900
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 8150,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8150,8052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8150,8052) x common factors =2 x 1 = 2
LCM(8150,8052) = ( 8150 × 8052 ) / 2
LCM(8150,8052) = 65623800 / 2
LCM(8150,8052) = 32811900
Lets's calculate GCF of 358,8430
2 | 358, 8430 |
179, 4215 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32811900/2
Therefore the LCM of Fractions 8150/358,8052/8430 is 16405950
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 8430
List of positive integer factors of 8430 that divides 8430 without a remainder.
1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Greatest Common Factor
We found the factors 358,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 358,8430 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 8150/358, 8052/8430?
Answer: LCM of Numerators as per given numbers 8150/358, 8052/8430 is
LCM of Numerators i.e. for 8150,8052 is 32811900
GCF of denominators i.e. for 358,8430 is 2.
Thus, LCM of Fractions is 16405950.Finally, LCM of Fractions for 8150/358, 8052/8430 is 16405950.