Find the LCM of 224, 541, 959, 814, 718 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 224, 541, 959, 814, 718. So, keep reading to learn more.
Given numbers are 224,541,959,814,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,541,959,814,718 is 2425798417504.
Find LCM of 224,541,959,814,718 with Prime Factorization
2 | 224, 541, 959, 814, 718 |
7 | 112, 541, 959, 407, 359 |
16, 541, 137, 407, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 16 x 541 x 137 x 407 x 359 = 2425798417504
Therefore, the lowest common multiple of 224,541,959,814,718 is 2425798417504.
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.
224 x 541 x 959 x 814 x 718 = 67922355690112
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
541 : 1, 541
959 : 1, 7, 137, 959
814 : 1, 2, 11, 22, 37, 74, 407, 814
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,541,959,814,718, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
541:541
959:7x 137
814:2x 11x 37
718:2x 359
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 7 = 28
Therefore, the value for common factors is 28.
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 = 67922355690112/(1x28)
LCM = 67922355690112/28
LCM = 2425798417504
Thus, we can understand that the LCM of 224,541,959,814,718 is 2425798417504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 541, 959, 814, 718?
Answer: LCM of 224, 541, 959, 814, 718 is 2425798417504.
2. How to calculate the LCM of 224, 541, 959, 814, 718?
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 224, 541, 959, 814, 718.
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}.