Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/222, 758/870, 736/250 quickly i.e. 33891696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/222, 758/870, 736/250 is 33891696.
LCM(486/222, 758/870, 736/250) = 33891696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/222,758/870,736/250
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 486,758,736
Least Common Multiple of Numerators i.e. LCM of 486,758,736 is 67783392.
GCF of Denominators means GCF of 222,870,250 as per the given fractions.
GCF of 222,870,250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,758,736
2 | 486, 758, 736 |
243, 379, 368 |
∴ So the LCM of the given numbers is 2 x 243 x 379 x 368 = 67783392
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 486,758,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,758,736) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(486,758,736) x common factors =2 x 2 = 4
LCM(486,758,736) = ( 486 × 758 × 736 ) / 4
LCM(486,758,736) = 271133568 / 4
LCM(486,758,736) = 67783392
Lets's calculate GCF of 222,870,250
2 | 222, 870, 250 |
111, 435, 125 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67783392/2
Therefore the LCM of Fractions 486/222,758/870,736/250 is 33891696
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 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 222,870,250 . The biggest common factor number is the GCF number.
So the greatest common factor 222,870,250 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 486/222, 758/870, 736/250?
Answer: LCM of Numerators as per given numbers 486/222, 758/870, 736/250 is
LCM of Numerators i.e. for 486,758,736 is 67783392
GCF of denominators i.e. for 222,870,250 is 2.
Thus, LCM of Fractions is 33891696.Finally, LCM of Fractions for 486/222, 758/870, 736/250 is 33891696.