Find the LCM of 550, 957, 446, 522, 860 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 550, 957, 446, 522, 860. So, keep reading to learn more.
Given numbers are 550,957,446,522,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,957,446,522,860 is 2753001900.
Find LCM of 550,957,446,522,860 with Prime Factorization
2 | 550, 957, 446, 522, 860 |
3 | 275, 957, 223, 261, 430 |
5 | 275, 319, 223, 87, 430 |
11 | 55, 319, 223, 87, 86 |
29 | 5, 29, 223, 87, 86 |
5, 1, 223, 3, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 5 x 1 x 223 x 3 x 86 = 2753001900
Therefore, the lowest common multiple of 550,957,446,522,860 is 2753001900.
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.
550 x 957 x 446 x 522 x 860 = 105384912732000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
957 : 1, 3, 11, 29, 33, 87, 319, 957
446 : 1, 2, 223, 446
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,957,446,522,860, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
957:3x 11x 29
446:2x 223
522:2x 3x 3x 29
860:2x 2x 5x 43
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 3x 5x 11x 29 = 38280
Therefore, the value for common factors is 38280.
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 = 105384912732000/(1x38280)
LCM = 105384912732000/38280
LCM = 2753001900
Thus, we can understand that the LCM of 550,957,446,522,860 is 2753001900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 550, 957, 446, 522, 860?
Answer: LCM of 550, 957, 446, 522, 860 is 2753001900.
2. How to calculate the LCM of 550, 957, 446, 522, 860?
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 550, 957, 446, 522, 860.
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}.