Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 929/780, 803/221 quickly i.e. 745987/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 929/780, 803/221 is 745987/13.
LCM(929/780, 803/221) = 745987/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 929/780,803/221
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 929,803
Least Common Multiple of Numerators i.e. LCM of 929,803 is 745987.
GCF of Denominators means GCF of 780,221 as per the given fractions.
GCF of 780,221 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 929,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 745987
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 929,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,803) x common factors =1 x 1 = 1
LCM(929,803) = ( 929 × 803 ) / 1
LCM(929,803) = 745987 / 1
LCM(929,803) = 745987
Lets's calculate GCF of 780,221
13 | 780, 221 |
60, 17 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745987/13
Therefore the LCM of Fractions 929/780,803/221 is 745987/13
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 780,221 . The biggest common factor number is the GCF number.
So the greatest common factor 780,221 is 13.
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 929/780, 803/221?
Answer: LCM of Numerators as per given numbers 929/780, 803/221 is
LCM of Numerators i.e. for 929,803 is 745987
GCF of denominators i.e. for 780,221 is 13.
Thus, LCM of Fractions is 745987/13.Finally, LCM of Fractions for 929/780, 803/221 is 745987/13.