Find the LCM of 483, 930, 667, 779, 133 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 483, 930, 667, 779, 133. So, keep reading to learn more.
Given numbers are 483,930,667,779,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,930,667,779,133 is 3382550430.
Find LCM of 483,930,667,779,133 with Prime Factorization
3 | 483, 930, 667, 779, 133 |
7 | 161, 310, 667, 779, 133 |
19 | 23, 310, 667, 779, 19 |
23 | 23, 310, 667, 41, 1 |
1, 310, 29, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 23 x 1 x 310 x 29 x 41 x 1 = 3382550430
Therefore, the lowest common multiple of 483,930,667,779,133 is 3382550430.
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.
483 x 930 x 667 x 779 x 133 = 31041665296110
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
667 : 1, 23, 29, 667
779 : 1, 19, 41, 779
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,930,667,779,133, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
930:2x 3x 5x 31
667:23x 29
779:19x 41
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19x 23 = 9177
Therefore, the value for common factors is 9177.
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 = 31041665296110/(1x9177)
LCM = 31041665296110/9177
LCM = 3382550430
Thus, we can understand that the LCM of 483,930,667,779,133 is 3382550430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 930, 667, 779, 133?
Answer: LCM of 483, 930, 667, 779, 133 is 3382550430.
2. How to calculate the LCM of 483, 930, 667, 779, 133?
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 483, 930, 667, 779, 133.
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}.