LCM of 667, 961, 114, 270, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 961, 114, 270, 784 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 667, 961, 114, 270, 784. So, keep reading to learn more.
Given numbers are 667,961,114,270,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,961,114,270,784 is 1288999217520.
Find LCM of 667,961,114,270,784 with Prime Factorization
| 2 | 667, 961, 114, 270, 784 |
| 3 | 667, 961, 57, 135, 392 |
| 667, 961, 19, 45, 392 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 667 x 961 x 19 x 45 x 392 = 1288999217520
Therefore, the lowest common multiple of 667,961,114,270,784 is 1288999217520.
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.
667 x 961 x 114 x 270 x 784 = 15467990610240
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.
667 : 1, 23, 29, 667
961 : 1, 31, 961
114 : 1, 2, 3, 6, 19, 38, 57, 114
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,961,114,270,784, is 1.
Now, the common factors can be found like this.
667:23x 29
961:31x 31
114:2x 3x 19
270:2x 3x 3x 3x 5
784:2x 2x 2x 2x 7x 7
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 3 = 12
Therefore, the value for common factors is 12.
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 = 15467990610240/(1x12)
LCM = 15467990610240/12
LCM = 1288999217520
Thus, we can understand that the LCM of 667,961,114,270,784 is 1288999217520.
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FAQs on LCM of 667, 961, 114, 270, 784
1. What is the LCM of 667, 961, 114, 270, 784?
Answer: LCM of 667, 961, 114, 270, 784 is 1288999217520.
2. How to calculate the LCM of 667, 961, 114, 270, 784?
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 667, 961, 114, 270, 784.
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}.