Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/980, 7125/794 quickly i.e. 3306000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/980, 7125/794 is 3306000.
LCM(928/980, 7125/794) = 3306000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/980,7125/794
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 928,7125
Least Common Multiple of Numerators i.e. LCM of 928,7125 is 6612000.
GCF of Denominators means GCF of 980,794 as per the given fractions.
GCF of 980,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,7125
Given numbers has no common factors except 1. So, there LCM is their product i.e 6612000
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 928,7125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,7125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,7125) x common factors =1 x 1 = 1
LCM(928,7125) = ( 928 × 7125 ) / 1
LCM(928,7125) = 6612000 / 1
LCM(928,7125) = 6612000
Lets's calculate GCF of 980,794
2 | 980, 794 |
490, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6612000/2
Therefore the LCM of Fractions 928/980,7125/794 is 3306000
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 980,794 . The biggest common factor number is the GCF number.
So the greatest common factor 980,794 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 928/980, 7125/794?
Answer: LCM of Numerators as per given numbers 928/980, 7125/794 is
LCM of Numerators i.e. for 928,7125 is 6612000
GCF of denominators i.e. for 980,794 is 2.
Thus, LCM of Fractions is 3306000.Finally, LCM of Fractions for 928/980, 7125/794 is 3306000.