LCM of 479, 901, 216, 440, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 901, 216, 440, 616 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 479, 901, 216, 440, 616. So, keep reading to learn more.
Given numbers are 479,901,216,440,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,901,216,440,616 is 35890109640.
Find LCM of 479,901,216,440,616 with Prime Factorization
| 2 | 479, 901, 216, 440, 616 |
| 2 | 479, 901, 108, 220, 308 |
| 2 | 479, 901, 54, 110, 154 |
| 11 | 479, 901, 27, 55, 77 |
| 479, 901, 27, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 479 x 901 x 27 x 5 x 7 = 35890109640
Therefore, the lowest common multiple of 479,901,216,440,616 is 35890109640.
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.
479 x 901 x 216 x 440 x 616 = 25266637186560
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.
479 : 1, 479
901 : 1, 17, 53, 901
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,901,216,440,616, is 1.
Now, the common factors can be found like this.
479:479
901:17x 53
216:2x 2x 2x 3x 3x 3
440:2x 2x 2x 5x 11
616:2x 2x 2x 7x 11
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 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 25266637186560/(1x704)
LCM = 25266637186560/704
LCM = 35890109640
Thus, we can understand that the LCM of 479,901,216,440,616 is 35890109640.
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FAQs on LCM of 479, 901, 216, 440, 616
1. What is the LCM of 479, 901, 216, 440, 616?
Answer: LCM of 479, 901, 216, 440, 616 is 35890109640.
2. How to calculate the LCM of 479, 901, 216, 440, 616?
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 479, 901, 216, 440, 616.
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}.