Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/55, 5210/506 quickly i.e. 870070/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/55, 5210/506 is 870070/11.
LCM(835/55, 5210/506) = 870070/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/55,5210/506
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 835,5210
Least Common Multiple of Numerators i.e. LCM of 835,5210 is 870070.
GCF of Denominators means GCF of 55,506 as per the given fractions.
GCF of 55,506 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,5210
5 | 835, 5210 |
167, 1042 |
∴ So the LCM of the given numbers is 5 x 167 x 1042 = 870070
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 835,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,5210) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,5210) x common factors =5 x 1 = 5
LCM(835,5210) = ( 835 × 5210 ) / 5
LCM(835,5210) = 4350350 / 5
LCM(835,5210) = 870070
Lets's calculate GCF of 55,506
11 | 55, 506 |
5, 46 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870070/11
Therefore the LCM of Fractions 835/55,5210/506 is 870070/11
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 55,506 . The biggest common factor number is the GCF number.
So the greatest common factor 55,506 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 835/55, 5210/506?
Answer: LCM of Numerators as per given numbers 835/55, 5210/506 is
LCM of Numerators i.e. for 835,5210 is 870070
GCF of denominators i.e. for 55,506 is 11.
Thus, LCM of Fractions is 870070/11.Finally, LCM of Fractions for 835/55, 5210/506 is 870070/11.