LCM of 282, 140, 493, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 140, 493, 329 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 282, 140, 493, 329. So, keep reading to learn more.
Given numbers are 282,140,493,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,140,493,329 is 9731820.
Find LCM of 282,140,493,329 with Prime Factorization
| 2 | 282, 140, 493, 329 |
| 7 | 141, 70, 493, 329 |
| 47 | 141, 10, 493, 47 |
| 3, 10, 493, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 3 x 10 x 493 x 1 = 9731820
Therefore, the lowest common multiple of 282,140,493,329 is 9731820.
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.
282 x 140 x 493 x 329 = 6403537560
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
493 : 1, 17, 29, 493
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,140,493,329, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
140:2x 2x 5x 7
493:17x 29
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 47 = 658
Therefore, the value for common factors is 658.
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 = 6403537560/(1x658)
LCM = 6403537560/658
LCM = 9731820
Thus, we can understand that the LCM of 282,140,493,329 is 9731820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 140, 493, 329
1. What is the LCM of 282, 140, 493, 329?
Answer: LCM of 282, 140, 493, 329 is 9731820.
2. How to calculate the LCM of 282, 140, 493, 329?
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 282, 140, 493, 329.
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}.