LCM of 629, 803, 110, 374, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 803, 110, 374, 555 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 629, 803, 110, 374, 555. So, keep reading to learn more.
Given numbers are 629,803,110,374,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,803,110,374,555 is 15152610.
Find LCM of 629,803,110,374,555 with Prime Factorization
| 2 | 629, 803, 110, 374, 555 |
| 5 | 629, 803, 55, 187, 555 |
| 11 | 629, 803, 11, 187, 111 |
| 17 | 629, 73, 1, 17, 111 |
| 37 | 37, 73, 1, 1, 111 |
| 1, 73, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 37 x 1 x 73 x 1 x 1 x 3 = 15152610
Therefore, the lowest common multiple of 629,803,110,374,555 is 15152610.
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.
629 x 803 x 110 x 374 x 555 = 11532499944900
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.
629 : 1, 17, 37, 629
803 : 1, 11, 73, 803
110 : 1, 2, 5, 10, 11, 22, 55, 110
374 : 1, 2, 11, 17, 22, 34, 187, 374
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,803,110,374,555, is 1.
Now, the common factors can be found like this.
629:17x 37
803:11x 73
110:2x 5x 11
374:2x 11x 17
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11x 17x 37 = 761090
Therefore, the value for common factors is 761090.
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 = 11532499944900/(1x761090)
LCM = 11532499944900/761090
LCM = 15152610
Thus, we can understand that the LCM of 629,803,110,374,555 is 15152610.
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FAQs on LCM of 629, 803, 110, 374, 555
1. What is the LCM of 629, 803, 110, 374, 555?
Answer: LCM of 629, 803, 110, 374, 555 is 15152610.
2. How to calculate the LCM of 629, 803, 110, 374, 555?
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 629, 803, 110, 374, 555.
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}.