LCM of 418, 924, 687, 838, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 924, 687, 838, 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 418, 924, 687, 838, 352. So, keep reading to learn more.
Given numbers are 418,924,687,838,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,924,687,838,352 is 13476126048.
Find LCM of 418,924,687,838,352 with Prime Factorization
| 2 | 418, 924, 687, 838, 352 |
| 2 | 209, 462, 687, 419, 176 |
| 3 | 209, 231, 687, 419, 88 |
| 11 | 209, 77, 229, 419, 88 |
| 19, 7, 229, 419, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 7 x 229 x 419 x 8 = 13476126048
Therefore, the lowest common multiple of 418,924,687,838,352 is 13476126048.
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.
418 x 924 x 687 x 838 x 352 = 78269340086784
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
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
687 : 1, 3, 229, 687
838 : 1, 2, 419, 838
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 418,924,687,838,352, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
924:2x 2x 3x 7x 11
687:3x 229
838:2x 419
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 2x 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 78269340086784/(1x5808)
LCM = 78269340086784/5808
LCM = 13476126048
Thus, we can understand that the LCM of 418,924,687,838,352 is 13476126048.
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FAQs on LCM of 418, 924, 687, 838, 352
1. What is the LCM of 418, 924, 687, 838, 352?
Answer: LCM of 418, 924, 687, 838, 352 is 13476126048.
2. How to calculate the LCM of 418, 924, 687, 838, 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 418, 924, 687, 838, 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}.