Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 872/222, 3910/479 quickly i.e. 1704760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 872/222, 3910/479 is 1704760.
LCM(872/222, 3910/479) = 1704760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 872/222,3910/479
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 872,3910
Least Common Multiple of Numerators i.e. LCM of 872,3910 is 1704760.
GCF of Denominators means GCF of 222,479 as per the given fractions.
GCF of 222,479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 872,3910
2 | 872, 3910 |
436, 1955 |
∴ So the LCM of the given numbers is 2 x 436 x 1955 = 1704760
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 872,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,3910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,3910) x common factors =2 x 1 = 2
LCM(872,3910) = ( 872 × 3910 ) / 2
LCM(872,3910) = 3409520 / 2
LCM(872,3910) = 1704760
Lets's calculate GCF of 222,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1704760/1
Therefore the LCM of Fractions 872/222,3910/479 is 1704760
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 222,479 . The biggest common factor number is the GCF number.
So the greatest common factor 222,479 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 872/222, 3910/479?
Answer: LCM of Numerators as per given numbers 872/222, 3910/479 is
LCM of Numerators i.e. for 872,3910 is 1704760
GCF of denominators i.e. for 222,479 is 1.
Thus, LCM of Fractions is 1704760.Finally, LCM of Fractions for 872/222, 3910/479 is 1704760.