Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 763/212, 3630/732 quickly i.e. 2769690/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 763/212, 3630/732 is 2769690/4.
LCM(763/212, 3630/732) = 2769690/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 763/212,3630/732
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 763,3630
Least Common Multiple of Numerators i.e. LCM of 763,3630 is 2769690.
GCF of Denominators means GCF of 212,732 as per the given fractions.
GCF of 212,732 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 763,3630
Given numbers has no common factors except 1. So, there LCM is their product i.e 2769690
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 763,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,3630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,3630) x common factors =1 x 1 = 1
LCM(763,3630) = ( 763 × 3630 ) / 1
LCM(763,3630) = 2769690 / 1
LCM(763,3630) = 2769690
Lets's calculate GCF of 212,732
2 | 212, 732 |
2 | 106, 366 |
53, 183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2769690/4
Therefore the LCM of Fractions 763/212,3630/732 is 2769690/4
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 212,732 . The biggest common factor number is the GCF number.
So the greatest common factor 212,732 is 4.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 763/212, 3630/732?
Answer: LCM of Numerators as per given numbers 763/212, 3630/732 is
LCM of Numerators i.e. for 763,3630 is 2769690
GCF of denominators i.e. for 212,732 is 4.
Thus, LCM of Fractions is 2769690/4.Finally, LCM of Fractions for 763/212, 3630/732 is 2769690/4.