LCM of 187, 484, 376, 640, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 484, 376, 640, 628 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 187, 484, 376, 640, 628. So, keep reading to learn more.
Given numbers are 187,484,376,640,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,484,376,640,628 is 9714305920.
Find LCM of 187,484,376,640,628 with Prime Factorization
| 2 | 187, 484, 376, 640, 628 |
| 2 | 187, 242, 188, 320, 314 |
| 2 | 187, 121, 94, 160, 157 |
| 11 | 187, 121, 47, 80, 157 |
| 17, 11, 47, 80, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 11 x 47 x 80 x 157 = 9714305920
Therefore, the lowest common multiple of 187,484,376,640,628 is 9714305920.
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.
187 x 484 x 376 x 640 x 628 = 13677742735360
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.
187 : 1, 11, 17, 187
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
376 : 1, 2, 4, 8, 47, 94, 188, 376
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,484,376,640,628, is 1.
Now, the common factors can be found like this.
187:11x 17
484:2x 2x 11x 11
376:2x 2x 2x 47
640:2x 2x 2x 2x 2x 2x 2x 5
628:2x 2x 157
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 2x 11 = 1408
Therefore, the value for common factors is 1408.
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 = 13677742735360/(1x1408)
LCM = 13677742735360/1408
LCM = 9714305920
Thus, we can understand that the LCM of 187,484,376,640,628 is 9714305920.
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FAQs on LCM of 187, 484, 376, 640, 628
1. What is the LCM of 187, 484, 376, 640, 628?
Answer: LCM of 187, 484, 376, 640, 628 is 9714305920.
2. How to calculate the LCM of 187, 484, 376, 640, 628?
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 187, 484, 376, 640, 628.
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}.