Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 444/88, 718/36, 901/606 quickly i.e. 71807898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 444/88, 718/36, 901/606 is 71807898.
LCM(444/88, 718/36, 901/606) = 71807898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 444/88,718/36,901/606
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 444,718,901
Least Common Multiple of Numerators i.e. LCM of 444,718,901 is 143615796.
GCF of Denominators means GCF of 88,36,606 as per the given fractions.
GCF of 88,36,606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 444,718,901
2 | 444, 718, 901 |
222, 359, 901 |
∴ So the LCM of the given numbers is 2 x 222 x 359 x 901 = 143615796
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 444,718,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,718,901) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(444,718,901) x common factors =1 x 2 = 2
LCM(444,718,901) = ( 444 × 718 × 901 ) / 2
LCM(444,718,901) = 287231592 / 2
LCM(444,718,901) = 143615796
Lets's calculate GCF of 88,36,606
2 | 88, 36, 606 |
44, 18, 303 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143615796/2
Therefore the LCM of Fractions 444/88,718/36,901/606 is 71807898
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 88,36,606 . The biggest common factor number is the GCF number.
So the greatest common factor 88,36,606 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 444/88, 718/36, 901/606?
Answer: LCM of Numerators as per given numbers 444/88, 718/36, 901/606 is
LCM of Numerators i.e. for 444,718,901 is 143615796
GCF of denominators i.e. for 88,36,606 is 2.
Thus, LCM of Fractions is 71807898.Finally, LCM of Fractions for 444/88, 718/36, 901/606 is 71807898.