LCM of 940, 510, 584, 566, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 510, 584, 566, 462 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 940, 510, 584, 566, 462. So, keep reading to learn more.
Given numbers are 940,510,584,566,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,510,584,566,462 is 152520438840.
Find LCM of 940,510,584,566,462 with Prime Factorization
| 2 | 940, 510, 584, 566, 462 |
| 2 | 470, 255, 292, 283, 231 |
| 3 | 235, 255, 146, 283, 231 |
| 5 | 235, 85, 146, 283, 77 |
| 47, 17, 146, 283, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 17 x 146 x 283 x 77 = 152520438840
Therefore, the lowest common multiple of 940,510,584,566,462 is 152520438840.
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.
940 x 510 x 584 x 566 x 462 = 73209810643200
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
584 : 1, 2, 4, 8, 73, 146, 292, 584
566 : 1, 2, 283, 566
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,510,584,566,462, is 2.
Now, the common factors can be found like this.
940:2x 2x 5x 47
510:2x 3x 5x 17
584:2x 2x 2x 73
566:2x 283
462:2x 3x 7x 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 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 73209810643200/(2x240)
LCM = 73209810643200/480
LCM = 152520438840
Thus, we can understand that the LCM of 940,510,584,566,462 is 152520438840.
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FAQs on LCM of 940, 510, 584, 566, 462
1. What is the LCM of 940, 510, 584, 566, 462?
Answer: LCM of 940, 510, 584, 566, 462 is 152520438840.
2. How to calculate the LCM of 940, 510, 584, 566, 462?
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 940, 510, 584, 566, 462.
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}.