Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/482, 792/632, 344/818 quickly i.e. 289476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/482, 792/632, 344/818 is 289476.
LCM(17/482, 792/632, 344/818) = 289476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/482,792/632,344/818
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 17,792,344
Least Common Multiple of Numerators i.e. LCM of 17,792,344 is 578952.
GCF of Denominators means GCF of 482,632,818 as per the given fractions.
GCF of 482,632,818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,792,344
2 | 17, 792, 344 |
2 | 17, 396, 172 |
2 | 17, 198, 86 |
17, 99, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 99 x 43 = 578952
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 17,792,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,792,344) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(17,792,344) x common factors =1 x 8 = 8
LCM(17,792,344) = ( 17 × 792 × 344 ) / 8
LCM(17,792,344) = 4631616 / 8
LCM(17,792,344) = 578952
Lets's calculate GCF of 482,632,818
2 | 482, 632, 818 |
241, 316, 409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578952/2
Therefore the LCM of Fractions 17/482,792/632,344/818 is 289476
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
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 482,632,818 . The biggest common factor number is the GCF number.
So the greatest common factor 482,632,818 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 17/482, 792/632, 344/818?
Answer: LCM of Numerators as per given numbers 17/482, 792/632, 344/818 is
LCM of Numerators i.e. for 17,792,344 is 578952
GCF of denominators i.e. for 482,632,818 is 2.
Thus, LCM of Fractions is 289476.Finally, LCM of Fractions for 17/482, 792/632, 344/818 is 289476.