LCM of 509, 312, 442, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 312, 442, 708 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 509, 312, 442, 708. So, keep reading to learn more.
Given numbers are 509,312,442,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,312,442,708 is 159284424.
Find LCM of 509,312,442,708 with Prime Factorization
| 2 | 509, 312, 442, 708 |
| 2 | 509, 156, 221, 354 |
| 3 | 509, 78, 221, 177 |
| 13 | 509, 26, 221, 59 |
| 509, 2, 17, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 509 x 2 x 17 x 59 = 159284424
Therefore, the lowest common multiple of 509,312,442,708 is 159284424.
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.
509 x 312 x 442 x 708 = 49696740288
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.
509 : 1, 509
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
442 : 1, 2, 13, 17, 26, 34, 221, 442
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,312,442,708, is 1.
Now, the common factors can be found like this.
509:509
312:2x 2x 2x 3x 13
442:2x 13x 17
708:2x 2x 3x 59
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 49696740288/(1x312)
LCM = 49696740288/312
LCM = 159284424
Thus, we can understand that the LCM of 509,312,442,708 is 159284424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 312, 442, 708
1. What is the LCM of 509, 312, 442, 708?
Answer: LCM of 509, 312, 442, 708 is 159284424.
2. How to calculate the LCM of 509, 312, 442, 708?
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 509, 312, 442, 708.
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}.