LCM of 493, 432, 309, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 432, 309, 342 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 493, 432, 309, 342. So, keep reading to learn more.
Given numbers are 493,432,309,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,432,309,342 is 416794032.
Find LCM of 493,432,309,342 with Prime Factorization
| 2 | 493, 432, 309, 342 |
| 3 | 493, 216, 309, 171 |
| 3 | 493, 72, 103, 57 |
| 493, 24, 103, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 493 x 24 x 103 x 19 = 416794032
Therefore, the lowest common multiple of 493,432,309,342 is 416794032.
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.
493 x 432 x 309 x 342 = 22506877728
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.
493 : 1, 17, 29, 493
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
309 : 1, 3, 103, 309
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,432,309,342, is 1.
Now, the common factors can be found like this.
493:17x 29
432:2x 2x 2x 2x 3x 3x 3
309:3x 103
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 22506877728/(1x54)
LCM = 22506877728/54
LCM = 416794032
Thus, we can understand that the LCM of 493,432,309,342 is 416794032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 432, 309, 342
1. What is the LCM of 493, 432, 309, 342?
Answer: LCM of 493, 432, 309, 342 is 416794032.
2. How to calculate the LCM of 493, 432, 309, 342?
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 493, 432, 309, 342.
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}.