LCM of 794, 528, 895, 656, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 528, 895, 656, 359 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 794, 528, 895, 656, 359. So, keep reading to learn more.
Given numbers are 794,528,895,656,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,528,895,656,359 is 2761377424080.
Find LCM of 794,528,895,656,359 with Prime Factorization
| 2 | 794, 528, 895, 656, 359 |
| 2 | 397, 264, 895, 328, 359 |
| 2 | 397, 132, 895, 164, 359 |
| 2 | 397, 66, 895, 82, 359 |
| 397, 33, 895, 41, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 397 x 33 x 895 x 41 x 359 = 2761377424080
Therefore, the lowest common multiple of 794,528,895,656,359 is 2761377424080.
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.
794 x 528 x 895 x 656 x 359 = 88364077570560
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.
794 : 1, 2, 397, 794
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
895 : 1, 5, 179, 895
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,528,895,656,359, is 1.
Now, the common factors can be found like this.
794:2x 397
528:2x 2x 2x 2x 3x 11
895:5x 179
656:2x 2x 2x 2x 41
359:359
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 2 = 32
Therefore, the value for common factors is 32.
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 = 88364077570560/(1x32)
LCM = 88364077570560/32
LCM = 2761377424080
Thus, we can understand that the LCM of 794,528,895,656,359 is 2761377424080.
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FAQs on LCM of 794, 528, 895, 656, 359
1. What is the LCM of 794, 528, 895, 656, 359?
Answer: LCM of 794, 528, 895, 656, 359 is 2761377424080.
2. How to calculate the LCM of 794, 528, 895, 656, 359?
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 794, 528, 895, 656, 359.
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}.