LCM of 199, 762, 647, 172, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 762, 647, 172, 352 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 199, 762, 647, 172, 352. So, keep reading to learn more.
Given numbers are 199,762,647,172,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,762,647,172,352 is 742494860448.
Find LCM of 199,762,647,172,352 with Prime Factorization
| 2 | 199, 762, 647, 172, 352 |
| 2 | 199, 381, 647, 86, 176 |
| 199, 381, 647, 43, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 199 x 381 x 647 x 43 x 88 = 742494860448
Therefore, the lowest common multiple of 199,762,647,172,352 is 742494860448.
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.
199 x 762 x 647 x 172 x 352 = 5939958883584
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.
199 : 1, 199
762 : 1, 2, 3, 6, 127, 254, 381, 762
647 : 1, 647
172 : 1, 2, 4, 43, 86, 172
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,762,647,172,352, is 1.
Now, the common factors can be found like this.
199:199
762:2x 3x 127
647:647
172:2x 2x 43
352:2x 2x 2x 2x 2x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 5939958883584/(1x8)
LCM = 5939958883584/8
LCM = 742494860448
Thus, we can understand that the LCM of 199,762,647,172,352 is 742494860448.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 199, 762, 647, 172, 352
1. What is the LCM of 199, 762, 647, 172, 352?
Answer: LCM of 199, 762, 647, 172, 352 is 742494860448.
2. How to calculate the LCM of 199, 762, 647, 172, 352?
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 199, 762, 647, 172, 352.
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}.