Find the LCM of 578, 226, 132, 445, 482 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 578, 226, 132, 445, 482. So, keep reading to learn more.
Given numbers are 578,226,132,445,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,226,132,445,482 is 462303595380.
Find LCM of 578,226,132,445,482 with Prime Factorization
2 | 578, 226, 132, 445, 482 |
289, 113, 66, 445, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 289 x 113 x 66 x 445 x 241 = 462303595380
Therefore, the lowest common multiple of 578,226,132,445,482 is 462303595380.
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.
578 x 226 x 132 x 445 x 482 = 3698428763040
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.
578 : 1, 2, 17, 34, 289, 578
226 : 1, 2, 113, 226
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
445 : 1, 5, 89, 445
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,226,132,445,482, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
226:2x 113
132:2x 2x 3x 11
445:5x 89
482:2x 241
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 2 = 8
Therefore, the value for common factors is 8.
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 = 3698428763040/(1x8)
LCM = 3698428763040/8
LCM = 462303595380
Thus, we can understand that the LCM of 578,226,132,445,482 is 462303595380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 226, 132, 445, 482?
Answer: LCM of 578, 226, 132, 445, 482 is 462303595380.
2. How to calculate the LCM of 578, 226, 132, 445, 482?
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 578, 226, 132, 445, 482.
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}.