LCM of 551, 363, 624, 255, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 363, 624, 255, 160 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 551, 363, 624, 255, 160. So, keep reading to learn more.
Given numbers are 551,363,624,255,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,363,624,255,160 is 7072459680.
Find LCM of 551,363,624,255,160 with Prime Factorization
| 2 | 551, 363, 624, 255, 160 |
| 2 | 551, 363, 312, 255, 80 |
| 2 | 551, 363, 156, 255, 40 |
| 2 | 551, 363, 78, 255, 20 |
| 3 | 551, 363, 39, 255, 10 |
| 5 | 551, 121, 13, 85, 10 |
| 551, 121, 13, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 551 x 121 x 13 x 17 x 2 = 7072459680
Therefore, the lowest common multiple of 551,363,624,255,160 is 7072459680.
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.
551 x 363 x 624 x 255 x 160 = 5092170969600
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.
551 : 1, 19, 29, 551
363 : 1, 3, 11, 33, 121, 363
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
255 : 1, 3, 5, 15, 17, 51, 85, 255
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,363,624,255,160, is 1.
Now, the common factors can be found like this.
551:19x 29
363:3x 11x 11
624:2x 2x 2x 2x 3x 13
255:3x 5x 17
160:2x 2x 2x 2x 2x 5
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 5092170969600/(1x720)
LCM = 5092170969600/720
LCM = 7072459680
Thus, we can understand that the LCM of 551,363,624,255,160 is 7072459680.
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FAQs on LCM of 551, 363, 624, 255, 160
1. What is the LCM of 551, 363, 624, 255, 160?
Answer: LCM of 551, 363, 624, 255, 160 is 7072459680.
2. How to calculate the LCM of 551, 363, 624, 255, 160?
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 551, 363, 624, 255, 160.
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}.