LCM of 358, 377, 400, 864, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 377, 400, 864, 321 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, 377, 400, 864, 321. So, keep reading to learn more.
Given numbers are 358,377,400,864,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,377,400,864,321 is 155966709600.
Find LCM of 358,377,400,864,321 with Prime Factorization
| 2 | 358, 377, 400, 864, 321 |
| 2 | 179, 377, 200, 432, 321 |
| 2 | 179, 377, 100, 216, 321 |
| 2 | 179, 377, 50, 108, 321 |
| 3 | 179, 377, 25, 54, 321 |
| 179, 377, 25, 18, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 179 x 377 x 25 x 18 x 107 = 155966709600
Therefore, the lowest common multiple of 358,377,400,864,321 is 155966709600.
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 377 x 400 x 864 x 321 = 14972804121600
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
377 : 1, 13, 29, 377
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,377,400,864,321, is 1.
Now, the common factors can be found like this.
358:2x 179
377:13x 29
400:2x 2x 2x 2x 5x 5
864:2x 2x 2x 2x 2x 3x 3x 3
321:3x 107
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 14972804121600/(1x96)
LCM = 14972804121600/96
LCM = 155966709600
Thus, we can understand that the LCM of 358,377,400,864,321 is 155966709600.
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FAQs on LCM of 358, 377, 400, 864, 321
1. What is the LCM of 358, 377, 400, 864, 321?
Answer: LCM of 358, 377, 400, 864, 321 is 155966709600.
2. How to calculate the LCM of 358, 377, 400, 864, 321?
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, 377, 400, 864, 321.
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}.