LCM of 310, 560, 842, 872, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 560, 842, 872, 146 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 310, 560, 842, 872, 146. So, keep reading to learn more.
Given numbers are 310,560,842,872,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,560,842,872,146 is 58154211920.
Find LCM of 310,560,842,872,146 with Prime Factorization
| 2 | 310, 560, 842, 872, 146 |
| 2 | 155, 280, 421, 436, 73 |
| 2 | 155, 140, 421, 218, 73 |
| 5 | 155, 70, 421, 109, 73 |
| 31, 14, 421, 109, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 31 x 14 x 421 x 109 x 73 = 58154211920
Therefore, the lowest common multiple of 310,560,842,872,146 is 58154211920.
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.
310 x 560 x 842 x 872 x 146 = 18609347814400
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
842 : 1, 2, 421, 842
872 : 1, 2, 4, 8, 109, 218, 436, 872
146 : 1, 2, 73, 146
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,560,842,872,146, is 2.
Now, the common factors can be found like this.
310:2x 5x 31
560:2x 2x 2x 2x 5x 7
842:2x 421
872:2x 2x 2x 109
146:2x 73
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 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 18609347814400/(2x160)
LCM = 18609347814400/320
LCM = 58154211920
Thus, we can understand that the LCM of 310,560,842,872,146 is 58154211920.
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FAQs on LCM of 310, 560, 842, 872, 146
1. What is the LCM of 310, 560, 842, 872, 146?
Answer: LCM of 310, 560, 842, 872, 146 is 58154211920.
2. How to calculate the LCM of 310, 560, 842, 872, 146?
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 310, 560, 842, 872, 146.
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}.