LCM of 358, 779, 415, 589, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 779, 415, 589, 537 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 358, 779, 415, 589, 537. So, keep reading to learn more.
Given numbers are 358,779,415,589,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,779,415,589,537 is 10763450790.
Find LCM of 358,779,415,589,537 with Prime Factorization
| 19 | 358, 779, 415, 589, 537 |
| 179 | 358, 41, 415, 31, 537 |
| 2, 41, 415, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
19 x 179 x 2 x 41 x 415 x 31 x 3 = 10763450790
Therefore, the lowest common multiple of 358,779,415,589,537 is 10763450790.
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.
358 x 779 x 415 x 589 x 537 = 36606496136790
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.
358 : 1, 2, 179, 358
779 : 1, 19, 41, 779
415 : 1, 5, 83, 415
589 : 1, 19, 31, 589
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,779,415,589,537, is 1.
Now, the common factors can be found like this.
358:2x 179
779:19x 41
415:5x 83
589:19x 31
537:3x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 179 = 3401
Therefore, the value for common factors is 3401.
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 = 36606496136790/(1x3401)
LCM = 36606496136790/3401
LCM = 10763450790
Thus, we can understand that the LCM of 358,779,415,589,537 is 10763450790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 779, 415, 589, 537
1. What is the LCM of 358, 779, 415, 589, 537?
Answer: LCM of 358, 779, 415, 589, 537 is 10763450790.
2. How to calculate the LCM of 358, 779, 415, 589, 537?
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 358, 779, 415, 589, 537.
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}.