LCM of 359, 221, 826, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 221, 826, 468 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 359, 221, 826, 468. So, keep reading to learn more.
Given numbers are 359,221,826,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,221,826,468 is 1179612252.
Find LCM of 359,221,826,468 with Prime Factorization
| 2 | 359, 221, 826, 468 |
| 13 | 359, 221, 413, 234 |
| 359, 17, 413, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 359 x 17 x 413 x 18 = 1179612252
Therefore, the lowest common multiple of 359,221,826,468 is 1179612252.
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.
359 x 221 x 826 x 468 = 30669918552
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.
359 : 1, 359
221 : 1, 13, 17, 221
826 : 1, 2, 7, 14, 59, 118, 413, 826
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,221,826,468, is 1.
Now, the common factors can be found like this.
359:359
221:13x 17
826:2x 7x 59
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 30669918552/(1x26)
LCM = 30669918552/26
LCM = 1179612252
Thus, we can understand that the LCM of 359,221,826,468 is 1179612252.
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FAQs on LCM of 359, 221, 826, 468
1. What is the LCM of 359, 221, 826, 468?
Answer: LCM of 359, 221, 826, 468 is 1179612252.
2. How to calculate the LCM of 359, 221, 826, 468?
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 359, 221, 826, 468.
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}.