Least Common Multiple of 169/15, 531/5070
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 169/15, 531/5070 quickly i.e. 89739/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 169/15, 531/5070 is 89739/15.
LCM(169/15, 531/5070) = 89739/15
LCM of 169/15, 531/5070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 169/15,531/5070
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 169,531
Least Common Multiple of Numerators i.e. LCM of 169,531 is 89739.
GCF of Denominators means GCF of 15,5070 as per the given fractions.
GCF of 15,5070 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 169,531
LCM of Fractions 169/15,531/5070 is 89739/15
Given numbers has no common factors except 1. So, there LCM is their product i.e 89739
Least Common Multiple of 169,531 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 169,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,531) x common factors =1 x 1 = 1
LCM(169,531) = ( 169 × 531 ) / 1
LCM(169,531) = 89739 / 1
LCM(169,531) = 89739
Lets's calculate GCF of 15,5070
| 3 | 15, 5070 |
| 5 | 5, 1690 |
| 1, 338 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89739/15
Therefore the LCM of Fractions 169/15,531/5070 is 89739/15