Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 381/212, 6440/730 quickly i.e. 1226820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 381/212, 6440/730 is 1226820.
LCM(381/212, 6440/730) = 1226820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 381/212,6440/730
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 381,6440
Least Common Multiple of Numerators i.e. LCM of 381,6440 is 2453640.
GCF of Denominators means GCF of 212,730 as per the given fractions.
GCF of 212,730 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 381,6440
Given numbers has no common factors except 1. So, there LCM is their product i.e 2453640
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 381,6440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,6440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,6440) x common factors =1 x 1 = 1
LCM(381,6440) = ( 381 × 6440 ) / 1
LCM(381,6440) = 2453640 / 1
LCM(381,6440) = 2453640
Lets's calculate GCF of 212,730
2 | 212, 730 |
106, 365 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2453640/2
Therefore the LCM of Fractions 381/212,6440/730 is 1226820
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 212,730 . The biggest common factor number is the GCF number.
So the greatest common factor 212,730 is 2.
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 381/212, 6440/730?
Answer: LCM of Numerators as per given numbers 381/212, 6440/730 is
LCM of Numerators i.e. for 381,6440 is 2453640
GCF of denominators i.e. for 212,730 is 2.
Thus, LCM of Fractions is 1226820.Finally, LCM of Fractions for 381/212, 6440/730 is 1226820.