Find the LCM of 483, 588, 955, 565, 620 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, 588, 955, 565, 620. So, keep reading to learn more.
Given numbers are 483,588,955,565,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,588,955,565,620 is 45242716260.
Find LCM of 483,588,955,565,620 with Prime Factorization
2 | 483, 588, 955, 565, 620 |
2 | 483, 294, 955, 565, 310 |
3 | 483, 147, 955, 565, 155 |
5 | 161, 49, 955, 565, 155 |
7 | 161, 49, 191, 113, 31 |
23, 7, 191, 113, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 7 x 191 x 113 x 31 = 45242716260
Therefore, the lowest common multiple of 483,588,955,565,620 is 45242716260.
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 588 x 955 x 565 x 620 = 95009704146000
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
955 : 1, 5, 191, 955
565 : 1, 5, 113, 565
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,588,955,565,620, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
588:2x 2x 3x 7x 7
955:5x 191
565:5x 113
620:2x 2x 5x 31
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 95009704146000/(1x2100)
LCM = 95009704146000/2100
LCM = 45242716260
Thus, we can understand that the LCM of 483,588,955,565,620 is 45242716260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 588, 955, 565, 620?
Answer: LCM of 483, 588, 955, 565, 620 is 45242716260.
2. How to calculate the LCM of 483, 588, 955, 565, 620?
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, 588, 955, 565, 620.
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}.