LCM of 441, 312, 799, 940, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 312, 799, 940, 380 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 441, 312, 799, 940, 380. So, keep reading to learn more.
Given numbers are 441,312,799,940,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,312,799,940,380 is 3481306920.
Find LCM of 441,312,799,940,380 with Prime Factorization
| 2 | 441, 312, 799, 940, 380 |
| 2 | 441, 156, 799, 470, 190 |
| 3 | 441, 78, 799, 235, 95 |
| 5 | 147, 26, 799, 235, 95 |
| 47 | 147, 26, 799, 47, 19 |
| 147, 26, 17, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 147 x 26 x 17 x 1 x 19 = 3481306920
Therefore, the lowest common multiple of 441,312,799,940,380 is 3481306920.
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.
441 x 312 x 799 x 940 x 380 = 39269142057600
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
799 : 1, 17, 47, 799
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,312,799,940,380, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
312:2x 2x 2x 3x 13
799:17x 47
940:2x 2x 5x 47
380:2x 2x 5x 19
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 5x 47 = 11280
Therefore, the value for common factors is 11280.
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 = 39269142057600/(1x11280)
LCM = 39269142057600/11280
LCM = 3481306920
Thus, we can understand that the LCM of 441,312,799,940,380 is 3481306920.
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FAQs on LCM of 441, 312, 799, 940, 380
1. What is the LCM of 441, 312, 799, 940, 380?
Answer: LCM of 441, 312, 799, 940, 380 is 3481306920.
2. How to calculate the LCM of 441, 312, 799, 940, 380?
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 441, 312, 799, 940, 380.
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}.