LCM of 803, 949, 464, 559, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 949, 464, 559, 386 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 803, 949, 464, 559, 386. So, keep reading to learn more.
Given numbers are 803,949,464,559,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,949,464,559,386 is 40197833104.
Find LCM of 803,949,464,559,386 with Prime Factorization
| 2 | 803, 949, 464, 559, 386 |
| 13 | 803, 949, 232, 559, 193 |
| 73 | 803, 73, 232, 43, 193 |
| 11, 1, 232, 43, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 73 x 11 x 1 x 232 x 43 x 193 = 40197833104
Therefore, the lowest common multiple of 803,949,464,559,386 is 40197833104.
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.
803 x 949 x 464 x 559 x 386 = 76295487231392
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.
803 : 1, 11, 73, 803
949 : 1, 13, 73, 949
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
559 : 1, 13, 43, 559
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,949,464,559,386, is 1.
Now, the common factors can be found like this.
803:11x 73
949:13x 73
464:2x 2x 2x 2x 29
559:13x 43
386:2x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 73 = 1898
Therefore, the value for common factors is 1898.
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 = 76295487231392/(1x1898)
LCM = 76295487231392/1898
LCM = 40197833104
Thus, we can understand that the LCM of 803,949,464,559,386 is 40197833104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 949, 464, 559, 386
1. What is the LCM of 803, 949, 464, 559, 386?
Answer: LCM of 803, 949, 464, 559, 386 is 40197833104.
2. How to calculate the LCM of 803, 949, 464, 559, 386?
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 803, 949, 464, 559, 386.
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}.