LCM of 678, 560, 516, 842, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 560, 516, 842, 832 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 678, 560, 516, 842, 832. So, keep reading to learn more.
Given numbers are 678,560,516,842,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,560,516,842,832 is 178707023040.
Find LCM of 678,560,516,842,832 with Prime Factorization
| 2 | 678, 560, 516, 842, 832 |
| 2 | 339, 280, 258, 421, 416 |
| 2 | 339, 140, 129, 421, 208 |
| 2 | 339, 70, 129, 421, 104 |
| 3 | 339, 35, 129, 421, 52 |
| 113, 35, 43, 421, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 113 x 35 x 43 x 421 x 52 = 178707023040
Therefore, the lowest common multiple of 678,560,516,842,832 is 178707023040.
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.
678 x 560 x 516 x 842 x 832 = 137246993694720
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
842 : 1, 2, 421, 842
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,560,516,842,832, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
560:2x 2x 2x 2x 5x 7
516:2x 2x 3x 43
842:2x 421
832:2x 2x 2x 2x 2x 2x 13
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 3 = 384
Therefore, the value for common factors is 384.
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 = 137246993694720/(2x384)
LCM = 137246993694720/768
LCM = 178707023040
Thus, we can understand that the LCM of 678,560,516,842,832 is 178707023040.
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FAQs on LCM of 678, 560, 516, 842, 832
1. What is the LCM of 678, 560, 516, 842, 832?
Answer: LCM of 678, 560, 516, 842, 832 is 178707023040.
2. How to calculate the LCM of 678, 560, 516, 842, 832?
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 678, 560, 516, 842, 832.
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}.