LCM of 462, 309, 416, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 309, 416, 434 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 462, 309, 416, 434. So, keep reading to learn more.
Given numbers are 462,309,416,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,309,416,434 is 306834528.
Find LCM of 462,309,416,434 with Prime Factorization
| 2 | 462, 309, 416, 434 |
| 3 | 231, 309, 208, 217 |
| 7 | 77, 103, 208, 217 |
| 11, 103, 208, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 103 x 208 x 31 = 306834528
Therefore, the lowest common multiple of 462,309,416,434 is 306834528.
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.
462 x 309 x 416 x 434 = 25774100352
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
309 : 1, 3, 103, 309
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,309,416,434, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
309:3x 103
416:2x 2x 2x 2x 2x 13
434:2x 7x 31
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 25774100352/(1x84)
LCM = 25774100352/84
LCM = 306834528
Thus, we can understand that the LCM of 462,309,416,434 is 306834528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 309, 416, 434
1. What is the LCM of 462, 309, 416, 434?
Answer: LCM of 462, 309, 416, 434 is 306834528.
2. How to calculate the LCM of 462, 309, 416, 434?
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 462, 309, 416, 434.
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}.