LCM of 398, 500, 361, 459, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 500, 361, 459, 617 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 398, 500, 361, 459, 617. So, keep reading to learn more.
Given numbers are 398,500,361,459,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,500,361,459,617 is 10172510158500.
Find LCM of 398,500,361,459,617 with Prime Factorization
| 2 | 398, 500, 361, 459, 617 |
| 199, 250, 361, 459, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 199 x 250 x 361 x 459 x 617 = 10172510158500
Therefore, the lowest common multiple of 398,500,361,459,617 is 10172510158500.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
398 x 500 x 361 x 459 x 617 = 20345020317000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
398 : 1, 2, 199, 398
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
361 : 1, 19, 361
459 : 1, 3, 9, 17, 27, 51, 153, 459
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,500,361,459,617, is 1.
Now, the common factors can be found like this.
398:2x 199
500:2x 2x 5x 5x 5
361:19x 19
459:3x 3x 3x 17
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20345020317000/(1x2)
LCM = 20345020317000/2
LCM = 10172510158500
Thus, we can understand that the LCM of 398,500,361,459,617 is 10172510158500.
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FAQs on LCM of 398, 500, 361, 459, 617
1. What is the LCM of 398, 500, 361, 459, 617?
Answer: LCM of 398, 500, 361, 459, 617 is 10172510158500.
2. How to calculate the LCM of 398, 500, 361, 459, 617?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 398, 500, 361, 459, 617.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.