Least Common Multiple of 217/506, 502/407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 217/506, 502/407 quickly i.e. 108934/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 217/506, 502/407 is 108934/11.
LCM(217/506, 502/407) = 108934/11
LCM of 217/506, 502/407
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 217/506,502/407
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 217,502
Least Common Multiple of Numerators i.e. LCM of 217,502 is 108934.
GCF of Denominators means GCF of 506,407 as per the given fractions.
GCF of 506,407 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 217,502
LCM of Fractions 217/506,502/407 is 108934/11
Given numbers has no common factors except 1. So, there LCM is their product i.e 108934
Least Common Multiple of 217,502 with GCF Formula
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 217,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,502) x common factors =1 x 1 = 1
LCM(217,502) = ( 217 × 502 ) / 1
LCM(217,502) = 108934 / 1
LCM(217,502) = 108934
Lets's calculate GCF of 506,407
| 11 | 506, 407 |
| 46, 37 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108934/11
Therefore the LCM of Fractions 217/506,502/407 is 108934/11