Find the LCM of 456, 955, 283, 283, 565 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 456, 955, 283, 283, 565. So, keep reading to learn more.
Given numbers are 456,955,283,283,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,955,283,283,565 is 13926214920.
Find LCM of 456,955,283,283,565 with Prime Factorization
5 | 456, 955, 283, 283, 565 |
283 | 456, 191, 283, 283, 113 |
456, 191, 1, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
5 x 283 x 456 x 191 x 1 x 1 x 113 = 13926214920
Therefore, the lowest common multiple of 456,955,283,283,565 is 13926214920.
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.
456 x 955 x 283 x 283 x 565 = 19705594111800
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
955 : 1, 5, 191, 955
283 : 1, 283
283 : 1, 283
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,955,283,283,565, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
955:5x 191
283:283
283:283
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 283 = 1415
Therefore, the value for common factors is 1415.
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 = 19705594111800/(1x1415)
LCM = 19705594111800/1415
LCM = 13926214920
Thus, we can understand that the LCM of 456,955,283,283,565 is 13926214920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 456, 955, 283, 283, 565?
Answer: LCM of 456, 955, 283, 283, 565 is 13926214920.
2. How to calculate the LCM of 456, 955, 283, 283, 565?
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 456, 955, 283, 283, 565.
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}.