Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 970/36, 784/8595 quickly i.e. 380240/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 970/36, 784/8595 is 380240/9.
LCM(970/36, 784/8595) = 380240/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 970/36,784/8595
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 970,784
Least Common Multiple of Numerators i.e. LCM of 970,784 is 380240.
GCF of Denominators means GCF of 36,8595 as per the given fractions.
GCF of 36,8595 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 970,784
2 | 970, 784 |
485, 392 |
∴ So the LCM of the given numbers is 2 x 485 x 392 = 380240
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 970,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,784) x common factors =2 x 1 = 2
LCM(970,784) = ( 970 × 784 ) / 2
LCM(970,784) = 760480 / 2
LCM(970,784) = 380240
Lets's calculate GCF of 36,8595
3 | 36, 8595 |
3 | 12, 2865 |
4, 955 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380240/9
Therefore the LCM of Fractions 970/36,784/8595 is 380240/9
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 8595
List of positive integer factors of 8595 that divides 8595 without a remainder.
1,3,5,9,15,45,191,573,955,1719,2865,8595
Greatest Common Factor
We found the factors 36,8595 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8595 is 9.
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 970/36, 784/8595?
Answer: LCM of Numerators as per given numbers 970/36, 784/8595 is
LCM of Numerators i.e. for 970,784 is 380240
GCF of denominators i.e. for 36,8595 is 9.
Thus, LCM of Fractions is 380240/9.Finally, LCM of Fractions for 970/36, 784/8595 is 380240/9.