Least Common Multiple of 166/701, 5654/418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 166/701, 5654/418 quickly i.e. 469282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 166/701, 5654/418 is 469282.
LCM(166/701, 5654/418) = 469282
LCM of 166/701, 5654/418
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 166/701,5654/418
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 166,5654
Least Common Multiple of Numerators i.e. LCM of 166,5654 is 469282.
GCF of Denominators means GCF of 701,418 as per the given fractions.
GCF of 701,418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 166,5654
LCM of Fractions 166/701,5654/418 is 469282
| 2 | 166, 5654 |
| 83, 2827 |
∴ So the LCM of the given numbers is 2 x 83 x 2827 = 469282
Least Common Multiple of 166,5654 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 166,5654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,5654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,5654) x common factors =2 x 1 = 2
LCM(166,5654) = ( 166 × 5654 ) / 2
LCM(166,5654) = 938564 / 2
LCM(166,5654) = 469282
Lets's calculate GCF of 701,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469282/1
Therefore the LCM of Fractions 166/701,5654/418 is 469282
