Find the LCM of 808, 369, 577, 143, 352 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 808, 369, 577, 143, 352. So, keep reading to learn more.
Given numbers are 808,369,577,143,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,369,577,143,352 is 98403278688.
Find LCM of 808,369,577,143,352 with Prime Factorization
2 | 808, 369, 577, 143, 352 |
2 | 404, 369, 577, 143, 176 |
2 | 202, 369, 577, 143, 88 |
11 | 101, 369, 577, 143, 44 |
101, 369, 577, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 101 x 369 x 577 x 13 x 4 = 98403278688
Therefore, the lowest common multiple of 808,369,577,143,352 is 98403278688.
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.
808 x 369 x 577 x 143 x 352 = 8659488524544
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
369 : 1, 3, 9, 41, 123, 369
577 : 1, 577
143 : 1, 11, 13, 143
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,369,577,143,352, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
369:3x 3x 41
577:577
143:11x 13
352:2x 2x 2x 2x 2x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 8659488524544/(1x88)
LCM = 8659488524544/88
LCM = 98403278688
Thus, we can understand that the LCM of 808,369,577,143,352 is 98403278688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 369, 577, 143, 352?
Answer: LCM of 808, 369, 577, 143, 352 is 98403278688.
2. How to calculate the LCM of 808, 369, 577, 143, 352?
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 808, 369, 577, 143, 352.
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}.