Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/594, 150/866, 351/572 quickly i.e. 403650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/594, 150/866, 351/572 is 403650.
LCM(92/594, 150/866, 351/572) = 403650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/594,150/866,351/572
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 92,150,351
Least Common Multiple of Numerators i.e. LCM of 92,150,351 is 807300.
GCF of Denominators means GCF of 594,866,572 as per the given fractions.
GCF of 594,866,572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,150,351
2 | 92, 150, 351 |
3 | 46, 75, 351 |
46, 25, 117 |
∴ So the LCM of the given numbers is 2 x 3 x 46 x 25 x 117 = 807300
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 92,150,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,150,351) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(92,150,351) x common factors =1 x 6 = 6
LCM(92,150,351) = ( 92 × 150 × 351 ) / 6
LCM(92,150,351) = 4843800 / 6
LCM(92,150,351) = 807300
Lets's calculate GCF of 594,866,572
2 | 594, 866, 572 |
297, 433, 286 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807300/2
Therefore the LCM of Fractions 92/594,150/866,351/572 is 403650
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 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
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 594,866,572 . The biggest common factor number is the GCF number.
So the greatest common factor 594,866,572 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 92/594, 150/866, 351/572?
Answer: LCM of Numerators as per given numbers 92/594, 150/866, 351/572 is
LCM of Numerators i.e. for 92,150,351 is 807300
GCF of denominators i.e. for 594,866,572 is 2.
Thus, LCM of Fractions is 403650.Finally, LCM of Fractions for 92/594, 150/866, 351/572 is 403650.