LCM of 157, 793, 856, 705, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 793, 856, 705, 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 157, 793, 856, 705, 832. So, keep reading to learn more.
Given numbers are 157,793,856,705,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,793,856,705,832 is 601070907840.
Find LCM of 157,793,856,705,832 with Prime Factorization
| 2 | 157, 793, 856, 705, 832 |
| 2 | 157, 793, 428, 705, 416 |
| 2 | 157, 793, 214, 705, 208 |
| 13 | 157, 793, 107, 705, 104 |
| 157, 61, 107, 705, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 157 x 61 x 107 x 705 x 8 = 601070907840
Therefore, the lowest common multiple of 157,793,856,705,832 is 601070907840.
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.
157 x 793 x 856 x 705 x 832 = 62511374415360
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.
157 : 1, 157
793 : 1, 13, 61, 793
856 : 1, 2, 4, 8, 107, 214, 428, 856
705 : 1, 3, 5, 15, 47, 141, 235, 705
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,793,856,705,832, is 1.
Now, the common factors can be found like this.
157:157
793:13x 61
856:2x 2x 2x 107
705:3x 5x 47
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 13 = 104
Therefore, the value for common factors is 104.
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 = 62511374415360/(1x104)
LCM = 62511374415360/104
LCM = 601070907840
Thus, we can understand that the LCM of 157,793,856,705,832 is 601070907840.
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FAQs on LCM of 157, 793, 856, 705, 832
1. What is the LCM of 157, 793, 856, 705, 832?
Answer: LCM of 157, 793, 856, 705, 832 is 601070907840.
2. How to calculate the LCM of 157, 793, 856, 705, 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 157, 793, 856, 705, 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}.