LCM of 363, 338, 642, 832, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 338, 642, 832, 879 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 363, 338, 642, 832, 879. So, keep reading to learn more.
Given numbers are 363,338,642,832,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,338,642,832,879 is 123090547008.
Find LCM of 363,338,642,832,879 with Prime Factorization
| 2 | 363, 338, 642, 832, 879 |
| 3 | 363, 169, 321, 416, 879 |
| 13 | 121, 169, 107, 416, 293 |
| 121, 13, 107, 32, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 121 x 13 x 107 x 32 x 293 = 123090547008
Therefore, the lowest common multiple of 363,338,642,832,879 is 123090547008.
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.
363 x 338 x 642 x 832 x 879 = 57606375999744
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.
363 : 1, 3, 11, 33, 121, 363
338 : 1, 2, 13, 26, 169, 338
642 : 1, 2, 3, 6, 107, 214, 321, 642
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,338,642,832,879, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
338:2x 13x 13
642:2x 3x 107
832:2x 2x 2x 2x 2x 2x 13
879:3x 293
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 57606375999744/(1x468)
LCM = 57606375999744/468
LCM = 123090547008
Thus, we can understand that the LCM of 363,338,642,832,879 is 123090547008.
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FAQs on LCM of 363, 338, 642, 832, 879
1. What is the LCM of 363, 338, 642, 832, 879?
Answer: LCM of 363, 338, 642, 832, 879 is 123090547008.
2. How to calculate the LCM of 363, 338, 642, 832, 879?
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 363, 338, 642, 832, 879.
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}.