LCM of 715, 640, 442, 759, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 640, 442, 759, 165 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 715, 640, 442, 759, 165. So, keep reading to learn more.
Given numbers are 715,640,442,759,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,640,442,759,165 is 107352960.
Find LCM of 715,640,442,759,165 with Prime Factorization
| 2 | 715, 640, 442, 759, 165 |
| 3 | 715, 320, 221, 759, 165 |
| 5 | 715, 320, 221, 253, 55 |
| 11 | 143, 64, 221, 253, 11 |
| 13 | 13, 64, 221, 23, 1 |
| 1, 64, 17, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 1 x 64 x 17 x 23 x 1 = 107352960
Therefore, the lowest common multiple of 715,640,442,759,165 is 107352960.
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.
715 x 640 x 442 x 759 x 165 = 25329930912000
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
442 : 1, 2, 13, 17, 26, 34, 221, 442
759 : 1, 3, 11, 23, 33, 69, 253, 759
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,640,442,759,165, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
640:2x 2x 2x 2x 2x 2x 2x 5
442:2x 13x 17
759:3x 11x 23
165:3x 5x 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 3x 5x 5x 11x 11x 13 = 235950
Therefore, the value for common factors is 235950.
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 = 25329930912000/(1x235950)
LCM = 25329930912000/235950
LCM = 107352960
Thus, we can understand that the LCM of 715,640,442,759,165 is 107352960.
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FAQs on LCM of 715, 640, 442, 759, 165
1. What is the LCM of 715, 640, 442, 759, 165?
Answer: LCM of 715, 640, 442, 759, 165 is 107352960.
2. How to calculate the LCM of 715, 640, 442, 759, 165?
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 715, 640, 442, 759, 165.
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}.