Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/476, 685/685, 219/572 quickly i.e. 12301230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/476, 685/685, 219/572 is 12301230.
LCM(82/476, 685/685, 219/572) = 12301230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/476,685/685,219/572
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 82,685,219
Least Common Multiple of Numerators i.e. LCM of 82,685,219 is 12301230.
GCF of Denominators means GCF of 476,685,572 as per the given fractions.
GCF of 476,685,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,685,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 12301230
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 82,685,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,685,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,685,219) x common factors =1 x 1 = 1
LCM(82,685,219) = ( 82 × 685 × 219 ) / 1
LCM(82,685,219) = 12301230 / 1
LCM(82,685,219) = 12301230
Lets's calculate GCF of 476,685,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12301230/1
Therefore the LCM of Fractions 82/476,685/685,219/572 is 12301230
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 476,685,572 . The biggest common factor number is the GCF number.
So the greatest common factor 476,685,572 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 82/476, 685/685, 219/572?
Answer: LCM of Numerators as per given numbers 82/476, 685/685, 219/572 is
LCM of Numerators i.e. for 82,685,219 is 12301230
GCF of denominators i.e. for 476,685,572 is 1.
Thus, LCM of Fractions is 12301230.Finally, LCM of Fractions for 82/476, 685/685, 219/572 is 12301230.