LCM of 356, 220, 387, 952, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 220, 387, 952, 867 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 356, 220, 387, 952, 867. So, keep reading to learn more.
Given numbers are 356,220,387,952,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,220,387,952,867 is 30658403160.
Find LCM of 356,220,387,952,867 with Prime Factorization
| 2 | 356, 220, 387, 952, 867 |
| 2 | 178, 110, 387, 476, 867 |
| 3 | 89, 55, 387, 238, 867 |
| 17 | 89, 55, 129, 238, 289 |
| 89, 55, 129, 14, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 89 x 55 x 129 x 14 x 17 = 30658403160
Therefore, the lowest common multiple of 356,220,387,952,867 is 30658403160.
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.
356 x 220 x 387 x 952 x 867 = 25017256978560
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.
356 : 1, 2, 4, 89, 178, 356
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
387 : 1, 3, 9, 43, 129, 387
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,220,387,952,867, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
220:2x 2x 5x 11
387:3x 3x 43
952:2x 2x 2x 7x 17
867:3x 17x 17
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 25017256978560/(1x816)
LCM = 25017256978560/816
LCM = 30658403160
Thus, we can understand that the LCM of 356,220,387,952,867 is 30658403160.
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FAQs on LCM of 356, 220, 387, 952, 867
1. What is the LCM of 356, 220, 387, 952, 867?
Answer: LCM of 356, 220, 387, 952, 867 is 30658403160.
2. How to calculate the LCM of 356, 220, 387, 952, 867?
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 356, 220, 387, 952, 867.
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}.