LCM of 287, 452, 336, 924, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 452, 336, 924, 414 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 287, 452, 336, 924, 414. So, keep reading to learn more.
Given numbers are 287,452,336,924,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,452,336,924,414 is 1181526192.
Find LCM of 287,452,336,924,414 with Prime Factorization
| 2 | 287, 452, 336, 924, 414 |
| 2 | 287, 226, 168, 462, 207 |
| 3 | 287, 113, 84, 231, 207 |
| 7 | 287, 113, 28, 77, 69 |
| 41, 113, 4, 11, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 113 x 4 x 11 x 69 = 1181526192
Therefore, the lowest common multiple of 287,452,336,924,414 is 1181526192.
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.
287 x 452 x 336 x 924 x 414 = 16673697621504
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.
287 : 1, 7, 41, 287
452 : 1, 2, 4, 113, 226, 452
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,452,336,924,414, is 1.
Now, the common factors can be found like this.
287:7x 41
452:2x 2x 113
336:2x 2x 2x 2x 3x 7
924:2x 2x 3x 7x 11
414:2x 3x 3x 23
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 2x 3x 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 16673697621504/(1x14112)
LCM = 16673697621504/14112
LCM = 1181526192
Thus, we can understand that the LCM of 287,452,336,924,414 is 1181526192.
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FAQs on LCM of 287, 452, 336, 924, 414
1. What is the LCM of 287, 452, 336, 924, 414?
Answer: LCM of 287, 452, 336, 924, 414 is 1181526192.
2. How to calculate the LCM of 287, 452, 336, 924, 414?
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 287, 452, 336, 924, 414.
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}.