Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/783, 7280/724 quickly i.e. 36400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/783, 7280/724 is 36400.
LCM(650/783, 7280/724) = 36400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/783,7280/724
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 650,7280
Least Common Multiple of Numerators i.e. LCM of 650,7280 is 36400.
GCF of Denominators means GCF of 783,724 as per the given fractions.
GCF of 783,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,7280
2 | 650, 7280 |
5 | 325, 3640 |
13 | 65, 728 |
5, 56 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 5 x 56 = 36400
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 650,7280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,7280) = 130
common factors(in case of two or more numbers have common factors) = 1
GCF(650,7280) x common factors =130 x 1 = 130
LCM(650,7280) = ( 650 × 7280 ) / 130
LCM(650,7280) = 4732000 / 130
LCM(650,7280) = 36400
Lets's calculate GCF of 783,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36400/1
Therefore the LCM of Fractions 650/783,7280/724 is 36400
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 783,724 . The biggest common factor number is the GCF number.
So the greatest common factor 783,724 is 1.
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 650/783, 7280/724?
Answer: LCM of Numerators as per given numbers 650/783, 7280/724 is
LCM of Numerators i.e. for 650,7280 is 36400
GCF of denominators i.e. for 783,724 is 1.
Thus, LCM of Fractions is 36400.Finally, LCM of Fractions for 650/783, 7280/724 is 36400.