Least Common Multiple of 76/750, 65/207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/750, 65/207 quickly i.e. 4940/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/750, 65/207 is 4940/3.
LCM(76/750, 65/207) = 4940/3
LCM of 76/750, 65/207
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/750,65/207
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 76,65
Least Common Multiple of Numerators i.e. LCM of 76,65 is 4940.
GCF of Denominators means GCF of 750,207 as per the given fractions.
GCF of 750,207 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,65
LCM of Fractions 76/750,65/207 is 4940/3
Given numbers has no common factors except 1. So, there LCM is their product i.e 4940
Least Common Multiple of 76,65 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 76,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,65) x common factors =1 x 1 = 1
LCM(76,65) = ( 76 × 65 ) / 1
LCM(76,65) = 4940 / 1
LCM(76,65) = 4940
Lets's calculate GCF of 750,207
| 3 | 750, 207 |
| 250, 69 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4940/3
Therefore the LCM of Fractions 76/750,65/207 is 4940/3