Find the LCM of 222, 498, 756, 594, 784 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 222, 498, 756, 594, 784. So, keep reading to learn more.
Given numbers are 222,498,756,594,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,498,756,594,784 is 715076208.
Find LCM of 222,498,756,594,784 with Prime Factorization
2 | 222, 498, 756, 594, 784 |
2 | 111, 249, 378, 297, 392 |
3 | 111, 249, 189, 297, 196 |
3 | 37, 83, 63, 99, 196 |
3 | 37, 83, 21, 33, 196 |
7 | 37, 83, 7, 11, 196 |
37, 83, 1, 11, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 37 x 83 x 1 x 11 x 28 = 715076208
Therefore, the lowest common multiple of 222,498,756,594,784 is 715076208.
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.
222 x 498 x 756 x 594 x 784 = 38923028153856
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
498 : 1, 2, 3, 6, 83, 166, 249, 498
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,498,756,594,784, is 2.
Now, the common factors can be found like this.
222:2x 3x 37
498:2x 3x 83
756:2x 2x 3x 3x 3x 7
594:2x 3x 3x 3x 11
784:2x 2x 2x 2x 7x 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 2x 3x 3x 3x 3x 3x 7 = 27216
Therefore, the value for common factors is 27216.
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 = 38923028153856/(2x27216)
LCM = 38923028153856/54432
LCM = 715076208
Thus, we can understand that the LCM of 222,498,756,594,784 is 715076208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 222, 498, 756, 594, 784?
Answer: LCM of 222, 498, 756, 594, 784 is 715076208.
2. How to calculate the LCM of 222, 498, 756, 594, 784?
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 222, 498, 756, 594, 784.
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}.