LCM of 223, 432, 432, 837, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 432, 432, 837, 779 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 223, 432, 432, 837, 779. So, keep reading to learn more.
Given numbers are 223,432,432,837,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,432,432,837,779 is 2326418064.
Find LCM of 223,432,432,837,779 with Prime Factorization
| 2 | 223, 432, 432, 837, 779 |
| 2 | 223, 216, 216, 837, 779 |
| 2 | 223, 108, 108, 837, 779 |
| 2 | 223, 54, 54, 837, 779 |
| 3 | 223, 27, 27, 837, 779 |
| 3 | 223, 9, 9, 279, 779 |
| 3 | 223, 3, 3, 93, 779 |
| 223, 1, 1, 31, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 223 x 1 x 1 x 31 x 779 = 2326418064
Therefore, the lowest common multiple of 223,432,432,837,779 is 2326418064.
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.
223 x 432 x 432 x 837 x 779 = 27135340298496
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.
223 : 1, 223
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
837 : 1, 3, 9, 27, 31, 93, 279, 837
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,432,432,837,779, is 1.
Now, the common factors can be found like this.
223:223
432:2x 2x 2x 2x 3x 3x 3
432:2x 2x 2x 2x 3x 3x 3
837:3x 3x 3x 31
779:19x 41
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 3x 3x 3x 3x 3 = 11664
Therefore, the value for common factors is 11664.
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 = 27135340298496/(1x11664)
LCM = 27135340298496/11664
LCM = 2326418064
Thus, we can understand that the LCM of 223,432,432,837,779 is 2326418064.
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FAQs on LCM of 223, 432, 432, 837, 779
1. What is the LCM of 223, 432, 432, 837, 779?
Answer: LCM of 223, 432, 432, 837, 779 is 2326418064.
2. How to calculate the LCM of 223, 432, 432, 837, 779?
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 223, 432, 432, 837, 779.
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}.