Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9085/930, 7278/800 quickly i.e. 6612063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9085/930, 7278/800 is 6612063.
LCM(9085/930, 7278/800) = 6612063
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9085/930,7278/800
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 9085,7278
Least Common Multiple of Numerators i.e. LCM of 9085,7278 is 66120630.
GCF of Denominators means GCF of 930,800 as per the given fractions.
GCF of 930,800 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9085,7278
Given numbers has no common factors except 1. So, there LCM is their product i.e 66120630
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 9085,7278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9085,7278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9085,7278) x common factors =1 x 1 = 1
LCM(9085,7278) = ( 9085 × 7278 ) / 1
LCM(9085,7278) = 66120630 / 1
LCM(9085,7278) = 66120630
Lets's calculate GCF of 930,800
2 | 930, 800 |
5 | 465, 400 |
93, 80 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66120630/10
Therefore the LCM of Fractions 9085/930,7278/800 is 6612063
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 930,800 . The biggest common factor number is the GCF number.
So the greatest common factor 930,800 is 10.
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 9085/930, 7278/800?
Answer: LCM of Numerators as per given numbers 9085/930, 7278/800 is
LCM of Numerators i.e. for 9085,7278 is 66120630
GCF of denominators i.e. for 930,800 is 10.
Thus, LCM of Fractions is 6612063.Finally, LCM of Fractions for 9085/930, 7278/800 is 6612063.