LCM of 157, 363, 862, 704, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 363, 862, 704, 815 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, 363, 862, 704, 815. So, keep reading to learn more.
Given numbers are 157,363,862,704,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,363,862,704,815 is 1281212391360.
Find LCM of 157,363,862,704,815 with Prime Factorization
| 2 | 157, 363, 862, 704, 815 |
| 11 | 157, 363, 431, 352, 815 |
| 157, 33, 431, 32, 815 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 157 x 33 x 431 x 32 x 815 = 1281212391360
Therefore, the lowest common multiple of 157,363,862,704,815 is 1281212391360.
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 363 x 862 x 704 x 815 = 28186672609920
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
363 : 1, 3, 11, 33, 121, 363
862 : 1, 2, 431, 862
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,363,862,704,815, is 1.
Now, the common factors can be found like this.
157:157
363:3x 11x 11
862:2x 431
704:2x 2x 2x 2x 2x 2x 11
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 28186672609920/(1x22)
LCM = 28186672609920/22
LCM = 1281212391360
Thus, we can understand that the LCM of 157,363,862,704,815 is 1281212391360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 363, 862, 704, 815
1. What is the LCM of 157, 363, 862, 704, 815?
Answer: LCM of 157, 363, 862, 704, 815 is 1281212391360.
2. How to calculate the LCM of 157, 363, 862, 704, 815?
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, 363, 862, 704, 815.
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}.