LCM of 463, 406, 323, 523, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 406, 323, 523, 735 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, 406, 323, 523, 735. So, keep reading to learn more.
Given numbers are 463,406,323,523,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,406,323,523,735 is 3334268234010.
Find LCM of 463,406,323,523,735 with Prime Factorization
| 7 | 463, 406, 323, 523, 735 |
| 463, 58, 323, 523, 105 |
Multiply the prime numbers at the bottom and the left side.
7 x 463 x 58 x 323 x 523 x 105 = 3334268234010
Therefore, the lowest common multiple of 463,406,323,523,735 is 3334268234010.
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 406 x 323 x 523 x 735 = 23339877638070
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
406 : 1, 2, 7, 14, 29, 58, 203, 406
323 : 1, 17, 19, 323
523 : 1, 523
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,406,323,523,735, is 1.
Now, the common factors can be found like this.
463:463
406:2x 7x 29
323:17x 19
523:523
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 23339877638070/(1x7)
LCM = 23339877638070/7
LCM = 3334268234010
Thus, we can understand that the LCM of 463,406,323,523,735 is 3334268234010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 406, 323, 523, 735
1. What is the LCM of 463, 406, 323, 523, 735?
Answer: LCM of 463, 406, 323, 523, 735 is 3334268234010.
2. How to calculate the LCM of 463, 406, 323, 523, 735?
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, 406, 323, 523, 735.
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}.