LCM of 616, 520, 286, 312, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 520, 286, 312, 864 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 616, 520, 286, 312, 864. So, keep reading to learn more.
Given numbers are 616,520,286,312,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,520,286,312,864 is 4324320.
Find LCM of 616,520,286,312,864 with Prime Factorization
| 2 | 616, 520, 286, 312, 864 |
| 2 | 308, 260, 143, 156, 432 |
| 2 | 154, 130, 143, 78, 216 |
| 3 | 77, 65, 143, 39, 108 |
| 11 | 77, 65, 143, 13, 36 |
| 13 | 7, 65, 13, 13, 36 |
| 7, 5, 1, 1, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 7 x 5 x 1 x 1 x 36 = 4324320
Therefore, the lowest common multiple of 616,520,286,312,864 is 4324320.
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.
616 x 520 x 286 x 312 x 864 = 24695534223360
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
286 : 1, 2, 11, 13, 22, 26, 143, 286
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,520,286,312,864, is 2.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
520:2x 2x 2x 5x 13
286:2x 11x 13
312:2x 2x 2x 3x 13
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2x 3x 11x 13x 13 = 2855424
Therefore, the value for common factors is 2855424.
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 = 24695534223360/(2x2855424)
LCM = 24695534223360/5710848
LCM = 4324320
Thus, we can understand that the LCM of 616,520,286,312,864 is 4324320.
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FAQs on LCM of 616, 520, 286, 312, 864
1. What is the LCM of 616, 520, 286, 312, 864?
Answer: LCM of 616, 520, 286, 312, 864 is 4324320.
2. How to calculate the LCM of 616, 520, 286, 312, 864?
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 616, 520, 286, 312, 864.
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}.