Find the LCM of 318, 560, 908, 598, 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 318, 560, 908, 598, 708. So, keep reading to learn more.
Given numbers are 318,560,908,598,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,560,908,598,708 is 356561303280.
Find LCM of 318,560,908,598,708 with Prime Factorization
2 | 318, 560, 908, 598, 708 |
2 | 159, 280, 454, 299, 354 |
3 | 159, 140, 227, 299, 177 |
53, 140, 227, 299, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 140 x 227 x 299 x 59 = 356561303280
Therefore, the lowest common multiple of 318,560,908,598,708 is 356561303280.
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.
318 x 560 x 908 x 598 x 708 = 68459770229760
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
908 : 1, 2, 4, 227, 454, 908
598 : 1, 2, 13, 23, 26, 46, 299, 598
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,560,908,598,708, is 2.
Now, the common factors can be found like this.
318:2x 3x 53
560:2x 2x 2x 2x 5x 7
908:2x 2x 227
598:2x 13x 23
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 68459770229760/(2x96)
LCM = 68459770229760/192
LCM = 356561303280
Thus, we can understand that the LCM of 318,560,908,598,708 is 356561303280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 560, 908, 598, 708?
Answer: LCM of 318, 560, 908, 598, 708 is 356561303280.
2. How to calculate the LCM of 318, 560, 908, 598, 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 318, 560, 908, 598, 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}.