Find the LCM of 919, 502, 120, 606, 320 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 919, 502, 120, 606, 320. So, keep reading to learn more.
Given numbers are 919,502,120,606,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,502,120,606,320 is 22365666240.
Find LCM of 919,502,120,606,320 with Prime Factorization
2 | 919, 502, 120, 606, 320 |
2 | 919, 251, 60, 303, 160 |
2 | 919, 251, 30, 303, 80 |
3 | 919, 251, 15, 303, 40 |
5 | 919, 251, 5, 101, 40 |
919, 251, 1, 101, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 919 x 251 x 1 x 101 x 8 = 22365666240
Therefore, the lowest common multiple of 919,502,120,606,320 is 22365666240.
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.
919 x 502 x 120 x 606 x 320 = 10735519795200
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.
919 : 1, 919
502 : 1, 2, 251, 502
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
606 : 1, 2, 3, 6, 101, 202, 303, 606
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,502,120,606,320, is 1.
Now, the common factors can be found like this.
919:919
502:2x 251
120:2x 2x 2x 3x 5
606:2x 3x 101
320:2x 2x 2x 2x 2x 2x 5
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 10735519795200/(1x480)
LCM = 10735519795200/480
LCM = 22365666240
Thus, we can understand that the LCM of 919,502,120,606,320 is 22365666240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 502, 120, 606, 320?
Answer: LCM of 919, 502, 120, 606, 320 is 22365666240.
2. How to calculate the LCM of 919, 502, 120, 606, 320?
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 919, 502, 120, 606, 320.
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}.