Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/594, 859/962, 272/818 quickly i.e. 19042312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/594, 859/962, 272/818 is 19042312.
LCM(652/594, 859/962, 272/818) = 19042312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/594,859/962,272/818
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 652,859,272
Least Common Multiple of Numerators i.e. LCM of 652,859,272 is 38084624.
GCF of Denominators means GCF of 594,962,818 as per the given fractions.
GCF of 594,962,818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,859,272
2 | 652, 859, 272 |
2 | 326, 859, 136 |
163, 859, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 859 x 68 = 38084624
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 652,859,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,859,272) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(652,859,272) x common factors =1 x 4 = 4
LCM(652,859,272) = ( 652 × 859 × 272 ) / 4
LCM(652,859,272) = 152338496 / 4
LCM(652,859,272) = 38084624
Lets's calculate GCF of 594,962,818
2 | 594, 962, 818 |
297, 481, 409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38084624/2
Therefore the LCM of Fractions 652/594,859/962,272/818 is 19042312
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 594,962,818 . The biggest common factor number is the GCF number.
So the greatest common factor 594,962,818 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 652/594, 859/962, 272/818?
Answer: LCM of Numerators as per given numbers 652/594, 859/962, 272/818 is
LCM of Numerators i.e. for 652,859,272 is 38084624
GCF of denominators i.e. for 594,962,818 is 2.
Thus, LCM of Fractions is 19042312.Finally, LCM of Fractions for 652/594, 859/962, 272/818 is 19042312.