Least Common Multiple of 3/42, 76/323, 75/219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/42, 76/323, 75/219 quickly i.e. 5700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/42, 76/323, 75/219 is 5700.
LCM(3/42, 76/323, 75/219) = 5700
LCM of 3/42, 76/323, 75/219
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/42,76/323,75/219
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 3,76,75
Least Common Multiple of Numerators i.e. LCM of 3,76,75 is 5700.
GCF of Denominators means GCF of 42,323,219 as per the given fractions.
GCF of 42,323,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,76,75
LCM of Fractions 3/42,76/323,75/219 is 5700
| 3 | 3, 76, 75 |
| 1, 76, 25 |
∴ So the LCM of the given numbers is 3 x 1 x 76 x 25 = 5700
Least Common Multiple of 3,76,75 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 3,76,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,76,75) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,76,75) x common factors =1 x 3 = 3
LCM(3,76,75) = ( 3 × 76 × 75 ) / 3
LCM(3,76,75) = 17100 / 3
LCM(3,76,75) = 5700
Lets's calculate GCF of 42,323,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700/1
Therefore the LCM of Fractions 3/42,76/323,75/219 is 5700