Least Common Multiple of 60/831, 61/378
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/831, 61/378 quickly i.e. 1220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/831, 61/378 is 1220.
LCM(60/831, 61/378) = 1220
LCM of 60/831, 61/378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/831,61/378
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 60,61
Least Common Multiple of Numerators i.e. LCM of 60,61 is 3660.
GCF of Denominators means GCF of 831,378 as per the given fractions.
GCF of 831,378 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,61
LCM of Fractions 60/831,61/378 is 1220
Given numbers has no common factors except 1. So, there LCM is their product i.e 3660
Least Common Multiple of 60,61 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 60,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,61) x common factors =1 x 1 = 1
LCM(60,61) = ( 60 × 61 ) / 1
LCM(60,61) = 3660 / 1
LCM(60,61) = 3660
Lets's calculate GCF of 831,378
| 3 | 831, 378 |
| 277, 126 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3660/3
Therefore the LCM of Fractions 60/831,61/378 is 1220