LCM of 793, 572, 358, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 572, 358, 895 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 793, 572, 358, 895. So, keep reading to learn more.
Given numbers are 793,572,358,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,572,358,895 is 31228340.
Find LCM of 793,572,358,895 with Prime Factorization
| 2 | 793, 572, 358, 895 |
| 13 | 793, 286, 179, 895 |
| 179 | 61, 22, 179, 895 |
| 61, 22, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 179 x 61 x 22 x 1 x 5 = 31228340
Therefore, the lowest common multiple of 793,572,358,895 is 31228340.
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.
793 x 572 x 358 x 895 = 145336694360
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.
793 : 1, 13, 61, 793
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
358 : 1, 2, 179, 358
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,572,358,895, is 1.
Now, the common factors can be found like this.
793:13x 61
572:2x 2x 11x 13
358:2x 179
895:5x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 179 = 4654
Therefore, the value for common factors is 4654.
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 = 145336694360/(1x4654)
LCM = 145336694360/4654
LCM = 31228340
Thus, we can understand that the LCM of 793,572,358,895 is 31228340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 793, 572, 358, 895
1. What is the LCM of 793, 572, 358, 895?
Answer: LCM of 793, 572, 358, 895 is 31228340.
2. How to calculate the LCM of 793, 572, 358, 895?
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 793, 572, 358, 895.
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}.