Find the LCM of 242, 842, 436, 362, 560 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 242, 842, 436, 362, 560. So, keep reading to learn more.
Given numbers are 242,842,436,362,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,842,436,362,560 is 562808393840.
Find LCM of 242,842,436,362,560 with Prime Factorization
2 | 242, 842, 436, 362, 560 |
2 | 121, 421, 218, 181, 280 |
121, 421, 109, 181, 140 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 121 x 421 x 109 x 181 x 140 = 562808393840
Therefore, the lowest common multiple of 242,842,436,362,560 is 562808393840.
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.
242 x 842 x 436 x 362 x 560 = 18009868602880
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.
242 : 1, 2, 11, 22, 121, 242
842 : 1, 2, 421, 842
436 : 1, 2, 4, 109, 218, 436
362 : 1, 2, 181, 362
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,842,436,362,560, is 2.
Now, the common factors can be found like this.
242:2x 11x 11
842:2x 421
436:2x 2x 109
362:2x 181
560:2x 2x 2x 2x 5x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 18009868602880/(2x16)
LCM = 18009868602880/32
LCM = 562808393840
Thus, we can understand that the LCM of 242,842,436,362,560 is 562808393840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 842, 436, 362, 560?
Answer: LCM of 242, 842, 436, 362, 560 is 562808393840.
2. How to calculate the LCM of 242, 842, 436, 362, 560?
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 242, 842, 436, 362, 560.
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}.