LCM of 418, 816, 570, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 816, 570, 120 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 418, 816, 570, 120. So, keep reading to learn more.
Given numbers are 418,816,570,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,816,570,120 is 852720.
Find LCM of 418,816,570,120 with Prime Factorization
| 2 | 418, 816, 570, 120 |
| 2 | 209, 408, 285, 60 |
| 2 | 209, 204, 285, 30 |
| 3 | 209, 102, 285, 15 |
| 5 | 209, 34, 95, 5 |
| 19 | 209, 34, 19, 1 |
| 11, 34, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 11 x 34 x 1 x 1 = 852720
Therefore, the lowest common multiple of 418,816,570,120 is 852720.
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.
418 x 816 x 570 x 120 = 23330419200
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,816,570,120, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
816:2x 2x 2x 2x 3x 17
570:2x 3x 5x 19
120:2x 2x 2x 3x 5
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 2x 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 23330419200/(2x13680)
LCM = 23330419200/27360
LCM = 852720
Thus, we can understand that the LCM of 418,816,570,120 is 852720.
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FAQs on LCM of 418, 816, 570, 120
1. What is the LCM of 418, 816, 570, 120?
Answer: LCM of 418, 816, 570, 120 is 852720.
2. How to calculate the LCM of 418, 816, 570, 120?
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 418, 816, 570, 120.
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}.