Find the LCM of 357, 270, 517, 306 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 357, 270, 517, 306. So, keep reading to learn more.
Given numbers are 357,270,517,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,270,517,306 is 16611210.
Find LCM of 357,270,517,306 with Prime Factorization
2 | 357, 270, 517, 306 |
3 | 357, 135, 517, 153 |
3 | 119, 45, 517, 51 |
17 | 119, 15, 517, 17 |
7, 15, 517, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 7 x 15 x 517 x 1 = 16611210
Therefore, the lowest common multiple of 357,270,517,306 is 16611210.
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.
357 x 270 x 517 x 306 = 15249090780
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
517 : 1, 11, 47, 517
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,270,517,306, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
270:2x 3x 3x 3x 5
517:11x 47
306:2x 3x 3x 17
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 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 15249090780/(1x918)
LCM = 15249090780/918
LCM = 16611210
Thus, we can understand that the LCM of 357,270,517,306 is 16611210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 270, 517, 306?
Answer: LCM of 357, 270, 517, 306 is 16611210.
2. How to calculate the LCM of 357, 270, 517, 306?
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 357, 270, 517, 306.
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}.