LCM of 463, 969, 348, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 969, 348, 412 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 463, 969, 348, 412. So, keep reading to learn more.
Given numbers are 463,969,348,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,969,348,412 is 5360434356.
Find LCM of 463,969,348,412 with Prime Factorization
| 2 | 463, 969, 348, 412 |
| 2 | 463, 969, 174, 206 |
| 3 | 463, 969, 87, 103 |
| 463, 323, 29, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 323 x 29 x 103 = 5360434356
Therefore, the lowest common multiple of 463,969,348,412 is 5360434356.
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.
463 x 969 x 348 x 412 = 64325212272
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.
463 : 1, 463
969 : 1, 3, 17, 19, 51, 57, 323, 969
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,969,348,412, is 1.
Now, the common factors can be found like this.
463:463
969:3x 17x 19
348:2x 2x 3x 29
412:2x 2x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 64325212272/(1x12)
LCM = 64325212272/12
LCM = 5360434356
Thus, we can understand that the LCM of 463,969,348,412 is 5360434356.
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FAQs on LCM of 463, 969, 348, 412
1. What is the LCM of 463, 969, 348, 412?
Answer: LCM of 463, 969, 348, 412 is 5360434356.
2. How to calculate the LCM of 463, 969, 348, 412?
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 463, 969, 348, 412.
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}.