LCM of 477, 616, 398, 616, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 616, 398, 616, 199 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 477, 616, 398, 616, 199. So, keep reading to learn more.
Given numbers are 477,616,398,616,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,616,398,616,199 is 58472568.
Find LCM of 477,616,398,616,199 with Prime Factorization
| 2 | 477, 616, 398, 616, 199 |
| 2 | 477, 308, 199, 308, 199 |
| 2 | 477, 154, 199, 154, 199 |
| 7 | 477, 77, 199, 77, 199 |
| 11 | 477, 11, 199, 11, 199 |
| 199 | 477, 1, 199, 1, 199 |
| 477, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 199 x 477 x 1 x 1 x 1 x 1 = 58472568
Therefore, the lowest common multiple of 477,616,398,616,199 is 58472568.
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.
477 x 616 x 398 x 616 x 199 = 14335602551424
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.
477 : 1, 3, 9, 53, 159, 477
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
398 : 1, 2, 199, 398
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,616,398,616,199, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
616:2x 2x 2x 7x 11
398:2x 199
616:2x 2x 2x 7x 11
199:199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 7x 11x 199 = 245168
Therefore, the value for common factors is 245168.
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 = 14335602551424/(1x245168)
LCM = 14335602551424/245168
LCM = 58472568
Thus, we can understand that the LCM of 477,616,398,616,199 is 58472568.
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FAQs on LCM of 477, 616, 398, 616, 199
1. What is the LCM of 477, 616, 398, 616, 199?
Answer: LCM of 477, 616, 398, 616, 199 is 58472568.
2. How to calculate the LCM of 477, 616, 398, 616, 199?
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 477, 616, 398, 616, 199.
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}.