Find the LCM of 577, 287, 957, 465, 282 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 577, 287, 957, 465, 282. So, keep reading to learn more.
Given numbers are 577,287,957,465,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,287,957,465,282 is 2309028000510.
Find LCM of 577,287,957,465,282 with Prime Factorization
3 | 577, 287, 957, 465, 282 |
577, 287, 319, 155, 94 |
Multiply the prime numbers at the bottom and the left side.
3 x 577 x 287 x 319 x 155 x 94 = 2309028000510
Therefore, the lowest common multiple of 577,287,957,465,282 is 2309028000510.
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.
577 x 287 x 957 x 465 x 282 = 20781252004590
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.
577 : 1, 577
287 : 1, 7, 41, 287
957 : 1, 3, 11, 29, 33, 87, 319, 957
465 : 1, 3, 5, 15, 31, 93, 155, 465
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,287,957,465,282, is 1.
Now, the common factors can be found like this.
577:577
287:7x 41
957:3x 11x 29
465:3x 5x 31
282:2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 20781252004590/(1x9)
LCM = 20781252004590/9
LCM = 2309028000510
Thus, we can understand that the LCM of 577,287,957,465,282 is 2309028000510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 287, 957, 465, 282?
Answer: LCM of 577, 287, 957, 465, 282 is 2309028000510.
2. How to calculate the LCM of 577, 287, 957, 465, 282?
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 577, 287, 957, 465, 282.
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}.