LCM of 438, 620, 868, 256, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 620, 868, 256, 584 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 438, 620, 868, 256, 584. So, keep reading to learn more.
Given numbers are 438,620,868,256,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,620,868,256,584 is 60829440.
Find LCM of 438,620,868,256,584 with Prime Factorization
| 2 | 438, 620, 868, 256, 584 |
| 2 | 219, 310, 434, 128, 292 |
| 2 | 219, 155, 217, 64, 146 |
| 31 | 219, 155, 217, 32, 73 |
| 73 | 219, 5, 7, 32, 73 |
| 3, 5, 7, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 73 x 3 x 5 x 7 x 32 x 1 = 60829440
Therefore, the lowest common multiple of 438,620,868,256,584 is 60829440.
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.
438 x 620 x 868 x 256 x 584 = 35240197816320
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
584 : 1, 2, 4, 8, 73, 146, 292, 584
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,620,868,256,584, is 2.
Now, the common factors can be found like this.
438:2x 3x 73
620:2x 2x 5x 31
868:2x 2x 7x 31
256:2x 2x 2x 2x 2x 2x 2x 2
584:2x 2x 2x 73
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 31x 73 = 289664
Therefore, the value for common factors is 289664.
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 = 35240197816320/(2x289664)
LCM = 35240197816320/579328
LCM = 60829440
Thus, we can understand that the LCM of 438,620,868,256,584 is 60829440.
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FAQs on LCM of 438, 620, 868, 256, 584
1. What is the LCM of 438, 620, 868, 256, 584?
Answer: LCM of 438, 620, 868, 256, 584 is 60829440.
2. How to calculate the LCM of 438, 620, 868, 256, 584?
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 438, 620, 868, 256, 584.
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}.