LCM of 232, 105, 812, 392, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 105, 812, 392, 435 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 232, 105, 812, 392, 435. So, keep reading to learn more.
Given numbers are 232,105,812,392,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,105,812,392,435 is 170520.
Find LCM of 232,105,812,392,435 with Prime Factorization
| 2 | 232, 105, 812, 392, 435 |
| 2 | 116, 105, 406, 196, 435 |
| 2 | 58, 105, 203, 98, 435 |
| 3 | 29, 105, 203, 49, 435 |
| 5 | 29, 35, 203, 49, 145 |
| 7 | 29, 7, 203, 49, 29 |
| 29 | 29, 1, 29, 7, 29 |
| 1, 1, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 29 x 1 x 1 x 1 x 7 x 1 = 170520
Therefore, the lowest common multiple of 232,105,812,392,435 is 170520.
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.
232 x 105 x 812 x 392 x 435 = 3372940166400
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
105 : 1, 3, 5, 7, 15, 21, 35, 105
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,105,812,392,435, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
105:3x 5x 7
812:2x 2x 7x 29
392:2x 2x 2x 7x 7
435:3x 5x 29
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 5x 7x 7x 29x 29 = 19780320
Therefore, the value for common factors is 19780320.
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 = 3372940166400/(1x19780320)
LCM = 3372940166400/19780320
LCM = 170520
Thus, we can understand that the LCM of 232,105,812,392,435 is 170520.
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FAQs on LCM of 232, 105, 812, 392, 435
1. What is the LCM of 232, 105, 812, 392, 435?
Answer: LCM of 232, 105, 812, 392, 435 is 170520.
2. How to calculate the LCM of 232, 105, 812, 392, 435?
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 232, 105, 812, 392, 435.
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}.