LCM of 312, 467, 767, 592, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 467, 767, 592, 640 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 312, 467, 767, 592, 640. So, keep reading to learn more.
Given numbers are 312,467,767,592,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,467,767,592,640 is 25445746560.
Find LCM of 312,467,767,592,640 with Prime Factorization
| 2 | 312, 467, 767, 592, 640 |
| 2 | 156, 467, 767, 296, 320 |
| 2 | 78, 467, 767, 148, 160 |
| 2 | 39, 467, 767, 74, 80 |
| 13 | 39, 467, 767, 37, 40 |
| 3, 467, 59, 37, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 3 x 467 x 59 x 37 x 40 = 25445746560
Therefore, the lowest common multiple of 312,467,767,592,640 is 25445746560.
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.
312 x 467 x 767 x 592 x 640 = 42341722275840
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
467 : 1, 467
767 : 1, 13, 59, 767
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,467,767,592,640, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
467:467
767:13x 59
592:2x 2x 2x 2x 37
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 42341722275840/(1x1664)
LCM = 42341722275840/1664
LCM = 25445746560
Thus, we can understand that the LCM of 312,467,767,592,640 is 25445746560.
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FAQs on LCM of 312, 467, 767, 592, 640
1. What is the LCM of 312, 467, 767, 592, 640?
Answer: LCM of 312, 467, 767, 592, 640 is 25445746560.
2. How to calculate the LCM of 312, 467, 767, 592, 640?
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 312, 467, 767, 592, 640.
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}.