Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/803, 9629/4070 quickly i.e. 799207/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/803, 9629/4070 is 799207/11.
LCM(83/803, 9629/4070) = 799207/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/803,9629/4070
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 83,9629
Least Common Multiple of Numerators i.e. LCM of 83,9629 is 799207.
GCF of Denominators means GCF of 803,4070 as per the given fractions.
GCF of 803,4070 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,9629
Given numbers has no common factors except 1. So, there LCM is their product i.e 799207
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 83,9629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,9629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,9629) x common factors =1 x 1 = 1
LCM(83,9629) = ( 83 × 9629 ) / 1
LCM(83,9629) = 799207 / 1
LCM(83,9629) = 799207
Lets's calculate GCF of 803,4070
11 | 803, 4070 |
73, 370 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799207/11
Therefore the LCM of Fractions 83/803,9629/4070 is 799207/11
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 4070
List of positive integer factors of 4070 that divides 4070 without a remainder.
1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Greatest Common Factor
We found the factors 803,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 803,4070 is 11.
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 83/803, 9629/4070?
Answer: LCM of Numerators as per given numbers 83/803, 9629/4070 is
LCM of Numerators i.e. for 83,9629 is 799207
GCF of denominators i.e. for 803,4070 is 11.
Thus, LCM of Fractions is 799207/11.Finally, LCM of Fractions for 83/803, 9629/4070 is 799207/11.