Find the LCM of 282, 118, 517, 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, 118, 517, 329. So, keep reading to learn more.
Given numbers are 282,118,517,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,118,517,329 is 1281126.
Find LCM of 282,118,517,329 with Prime Factorization
2 | 282, 118, 517, 329 |
47 | 141, 59, 517, 329 |
3, 59, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 3 x 59 x 11 x 7 = 1281126
Therefore, the lowest common multiple of 282,118,517,329 is 1281126.
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 118 x 517 x 329 = 5660014668
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
118 : 1, 2, 59, 118
517 : 1, 11, 47, 517
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,118,517,329, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
118:2x 59
517:11x 47
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 47x 47 = 4418
Therefore, the value for common factors is 4418.
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 = 5660014668/(1x4418)
LCM = 5660014668/4418
LCM = 1281126
Thus, we can understand that the LCM of 282,118,517,329 is 1281126.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 118, 517, 329?
Answer: LCM of 282, 118, 517, 329 is 1281126.
2. How to calculate the LCM of 282, 118, 517, 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, 118, 517, 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}.