LCM of 315, 749, 204, 578, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 749, 204, 578, 867 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 315, 749, 204, 578, 867. So, keep reading to learn more.
Given numbers are 315,749,204,578,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,749,204,578,867 is 38962980.
Find LCM of 315,749,204,578,867 with Prime Factorization
| 2 | 315, 749, 204, 578, 867 |
| 3 | 315, 749, 102, 289, 867 |
| 7 | 105, 749, 34, 289, 289 |
| 17 | 15, 107, 34, 289, 289 |
| 17 | 15, 107, 2, 17, 17 |
| 15, 107, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 17 x 15 x 107 x 2 x 1 x 1 = 38962980
Therefore, the lowest common multiple of 315,749,204,578,867 is 38962980.
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.
315 x 749 x 204 x 578 x 867 = 24119565213240
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
749 : 1, 7, 107, 749
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
578 : 1, 2, 17, 34, 289, 578
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,749,204,578,867, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
749:7x 107
204:2x 2x 3x 17
578:2x 17x 17
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 17x 17x 17 = 619038
Therefore, the value for common factors is 619038.
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 = 24119565213240/(1x619038)
LCM = 24119565213240/619038
LCM = 38962980
Thus, we can understand that the LCM of 315,749,204,578,867 is 38962980.
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FAQs on LCM of 315, 749, 204, 578, 867
1. What is the LCM of 315, 749, 204, 578, 867?
Answer: LCM of 315, 749, 204, 578, 867 is 38962980.
2. How to calculate the LCM of 315, 749, 204, 578, 867?
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 315, 749, 204, 578, 867.
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}.