Find the LCM of 550, 954, 101, 635, 483 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, 954, 101, 635, 483. So, keep reading to learn more.
Given numbers are 550,954,101,635,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,954,101,635,483 is 541791315450.
Find LCM of 550,954,101,635,483 with Prime Factorization
2 | 550, 954, 101, 635, 483 |
3 | 275, 477, 101, 635, 483 |
5 | 275, 159, 101, 635, 161 |
55, 159, 101, 127, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 55 x 159 x 101 x 127 x 161 = 541791315450
Therefore, the lowest common multiple of 550,954,101,635,483 is 541791315450.
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 954 x 101 x 635 x 483 = 16253739463500
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
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
101 : 1, 101
635 : 1, 5, 127, 635
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,954,101,635,483, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
954:2x 3x 3x 53
101:101
635:5x 127
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 16253739463500/(1x30)
LCM = 16253739463500/30
LCM = 541791315450
Thus, we can understand that the LCM of 550,954,101,635,483 is 541791315450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 550, 954, 101, 635, 483?
Answer: LCM of 550, 954, 101, 635, 483 is 541791315450.
2. How to calculate the LCM of 550, 954, 101, 635, 483?
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, 954, 101, 635, 483.
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}.