LCM of 808, 644, 975, 349, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 644, 975, 349, 924 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, 644, 975, 349, 924. So, keep reading to learn more.
Given numbers are 808,644,975,349,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,644,975,349,924 is 486922636200.
Find LCM of 808,644,975,349,924 with Prime Factorization
| 2 | 808, 644, 975, 349, 924 |
| 2 | 404, 322, 975, 349, 462 |
| 3 | 202, 161, 975, 349, 231 |
| 7 | 202, 161, 325, 349, 77 |
| 202, 23, 325, 349, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 202 x 23 x 325 x 349 x 11 = 486922636200
Therefore, the lowest common multiple of 808,644,975,349,924 is 486922636200.
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 644 x 975 x 349 x 924 = 163606005763200
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
349 : 1, 349
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,644,975,349,924, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
644:2x 2x 7x 23
975:3x 5x 5x 13
349:349
924:2x 2x 3x 7x 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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 163606005763200/(1x336)
LCM = 163606005763200/336
LCM = 486922636200
Thus, we can understand that the LCM of 808,644,975,349,924 is 486922636200.
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FAQs on LCM of 808, 644, 975, 349, 924
1. What is the LCM of 808, 644, 975, 349, 924?
Answer: LCM of 808, 644, 975, 349, 924 is 486922636200.
2. How to calculate the LCM of 808, 644, 975, 349, 924?
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, 644, 975, 349, 924.
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}.