Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/885, 6236/3010 quickly i.e. 106012/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/885, 6236/3010 is 106012/5.
LCM(34/885, 6236/3010) = 106012/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/885,6236/3010
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 34,6236
Least Common Multiple of Numerators i.e. LCM of 34,6236 is 106012.
GCF of Denominators means GCF of 885,3010 as per the given fractions.
GCF of 885,3010 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,6236
2 | 34, 6236 |
17, 3118 |
∴ So the LCM of the given numbers is 2 x 17 x 3118 = 106012
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 34,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,6236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,6236) x common factors =2 x 1 = 2
LCM(34,6236) = ( 34 × 6236 ) / 2
LCM(34,6236) = 212024 / 2
LCM(34,6236) = 106012
Lets's calculate GCF of 885,3010
5 | 885, 3010 |
177, 602 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106012/5
Therefore the LCM of Fractions 34/885,6236/3010 is 106012/5
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 3010
List of positive integer factors of 3010 that divides 3010 without a remainder.
1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010
Greatest Common Factor
We found the factors 885,3010 . The biggest common factor number is the GCF number.
So the greatest common factor 885,3010 is 5.
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 34/885, 6236/3010?
Answer: LCM of Numerators as per given numbers 34/885, 6236/3010 is
LCM of Numerators i.e. for 34,6236 is 106012
GCF of denominators i.e. for 885,3010 is 5.
Thus, LCM of Fractions is 106012/5.Finally, LCM of Fractions for 34/885, 6236/3010 is 106012/5.