LCM of 303, 572, 704, 124, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 572, 704, 124, 917 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 303, 572, 704, 124, 917. So, keep reading to learn more.
Given numbers are 303,572,704,124,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,572,704,124,917 is 78829662912.
Find LCM of 303,572,704,124,917 with Prime Factorization
| 2 | 303, 572, 704, 124, 917 |
| 2 | 303, 286, 352, 62, 917 |
| 11 | 303, 143, 176, 31, 917 |
| 303, 13, 16, 31, 917 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 303 x 13 x 16 x 31 x 917 = 78829662912
Therefore, the lowest common multiple of 303,572,704,124,917 is 78829662912.
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.
303 x 572 x 704 x 124 x 917 = 13874020672512
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.
303 : 1, 3, 101, 303
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
124 : 1, 2, 4, 31, 62, 124
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,572,704,124,917, is 1.
Now, the common factors can be found like this.
303:3x 101
572:2x 2x 11x 13
704:2x 2x 2x 2x 2x 2x 11
124:2x 2x 31
917:7x 131
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 11 = 176
Therefore, the value for common factors is 176.
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 = 13874020672512/(1x176)
LCM = 13874020672512/176
LCM = 78829662912
Thus, we can understand that the LCM of 303,572,704,124,917 is 78829662912.
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FAQs on LCM of 303, 572, 704, 124, 917
1. What is the LCM of 303, 572, 704, 124, 917?
Answer: LCM of 303, 572, 704, 124, 917 is 78829662912.
2. How to calculate the LCM of 303, 572, 704, 124, 917?
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 303, 572, 704, 124, 917.
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}.