Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/42, 682/61, 882/390 quickly i.e. 70979832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/42, 682/61, 882/390 is 70979832.
LCM(472/42, 682/61, 882/390) = 70979832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/42,682/61,882/390
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 472,682,882
Least Common Multiple of Numerators i.e. LCM of 472,682,882 is 70979832.
GCF of Denominators means GCF of 42,61,390 as per the given fractions.
GCF of 42,61,390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,682,882
2 | 472, 682, 882 |
236, 341, 441 |
∴ So the LCM of the given numbers is 2 x 236 x 341 x 441 = 70979832
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 472,682,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,682,882) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(472,682,882) x common factors =2 x 2 = 4
LCM(472,682,882) = ( 472 × 682 × 882 ) / 4
LCM(472,682,882) = 283919328 / 4
LCM(472,682,882) = 70979832
Lets's calculate GCF of 42,61,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70979832/1
Therefore the LCM of Fractions 472/42,682/61,882/390 is 70979832
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 42,61,390 . The biggest common factor number is the GCF number.
So the greatest common factor 42,61,390 is 1.
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 472/42, 682/61, 882/390?
Answer: LCM of Numerators as per given numbers 472/42, 682/61, 882/390 is
LCM of Numerators i.e. for 472,682,882 is 70979832
GCF of denominators i.e. for 42,61,390 is 1.
Thus, LCM of Fractions is 70979832.Finally, LCM of Fractions for 472/42, 682/61, 882/390 is 70979832.