LCM of 312, 987, 814, 360, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 987, 814, 360, 592 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 312, 987, 814, 360, 592. So, keep reading to learn more.
Given numbers are 312,987,814,360,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,987,814,360,592 is 1253332080.
Find LCM of 312,987,814,360,592 with Prime Factorization
| 2 | 312, 987, 814, 360, 592 |
| 2 | 156, 987, 407, 180, 296 |
| 2 | 78, 987, 407, 90, 148 |
| 3 | 39, 987, 407, 45, 74 |
| 37 | 13, 329, 407, 15, 74 |
| 13, 329, 11, 15, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 13 x 329 x 11 x 15 x 2 = 1253332080
Therefore, the lowest common multiple of 312,987,814,360,592 is 1253332080.
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.
312 x 987 x 814 x 360 x 592 = 53422026577920
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
987 : 1, 3, 7, 21, 47, 141, 329, 987
814 : 1, 2, 11, 22, 37, 74, 407, 814
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,987,814,360,592, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
987:3x 7x 47
814:2x 11x 37
360:2x 2x 2x 3x 3x 5
592:2x 2x 2x 2x 37
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 2x 2x 3x 3x 37 = 42624
Therefore, the value for common factors is 42624.
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 = 53422026577920/(1x42624)
LCM = 53422026577920/42624
LCM = 1253332080
Thus, we can understand that the LCM of 312,987,814,360,592 is 1253332080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 312, 987, 814, 360, 592
1. What is the LCM of 312, 987, 814, 360, 592?
Answer: LCM of 312, 987, 814, 360, 592 is 1253332080.
2. How to calculate the LCM of 312, 987, 814, 360, 592?
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 312, 987, 814, 360, 592.
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}.