Least Common Multiple of 672/63, 270/1802
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/63, 270/1802 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/63, 270/1802 is 30240.
LCM(672/63, 270/1802) = 30240
LCM of 672/63, 270/1802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/63,270/1802
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 672,270
Least Common Multiple of Numerators i.e. LCM of 672,270 is 30240.
GCF of Denominators means GCF of 63,1802 as per the given fractions.
GCF of 63,1802 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,270
LCM of Fractions 672/63,270/1802 is 30240
| 2 | 672, 270 |
| 3 | 336, 135 |
| 112, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 112 x 45 = 30240
Least Common Multiple of 672,270 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 672,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,270) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(672,270) x common factors =6 x 1 = 6
LCM(672,270) = ( 672 × 270 ) / 6
LCM(672,270) = 181440 / 6
LCM(672,270) = 30240
Lets's calculate GCF of 63,1802
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30240/1
Therefore the LCM of Fractions 672/63,270/1802 is 30240