Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/185, 915/562 quickly i.e. 733830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/185, 915/562 is 733830.
LCM(802/185, 915/562) = 733830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/185,915/562
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 802,915
Least Common Multiple of Numerators i.e. LCM of 802,915 is 733830.
GCF of Denominators means GCF of 185,562 as per the given fractions.
GCF of 185,562 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 733830
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 802,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,915) x common factors =1 x 1 = 1
LCM(802,915) = ( 802 × 915 ) / 1
LCM(802,915) = 733830 / 1
LCM(802,915) = 733830
Lets's calculate GCF of 185,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733830/1
Therefore the LCM of Fractions 802/185,915/562 is 733830
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 185,562 . The biggest common factor number is the GCF number.
So the greatest common factor 185,562 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 802/185, 915/562?
Answer: LCM of Numerators as per given numbers 802/185, 915/562 is
LCM of Numerators i.e. for 802,915 is 733830
GCF of denominators i.e. for 185,562 is 1.
Thus, LCM of Fractions is 733830.Finally, LCM of Fractions for 802/185, 915/562 is 733830.