Find the LCM of 969, 494, 780, 320, 310 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 969, 494, 780, 320, 310. So, keep reading to learn more.
Given numbers are 969,494,780,320,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,494,780,320,310 is 124962240.
Find LCM of 969,494,780,320,310 with Prime Factorization
2 | 969, 494, 780, 320, 310 |
2 | 969, 247, 390, 160, 155 |
3 | 969, 247, 195, 80, 155 |
5 | 323, 247, 65, 80, 155 |
13 | 323, 247, 13, 16, 31 |
19 | 323, 19, 1, 16, 31 |
17, 1, 1, 16, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 17 x 1 x 1 x 16 x 31 = 124962240
Therefore, the lowest common multiple of 969,494,780,320,310 is 124962240.
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.
969 x 494 x 780 x 320 x 310 = 37038807936000
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
494 : 1, 2, 13, 19, 26, 38, 247, 494
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,494,780,320,310, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
494:2x 13x 19
780:2x 2x 3x 5x 13
320:2x 2x 2x 2x 2x 2x 5
310:2x 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 2x 2x 3x 5x 5x 13x 19 = 296400
Therefore, the value for common factors is 296400.
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 = 37038807936000/(1x296400)
LCM = 37038807936000/296400
LCM = 124962240
Thus, we can understand that the LCM of 969,494,780,320,310 is 124962240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 494, 780, 320, 310?
Answer: LCM of 969, 494, 780, 320, 310 is 124962240.
2. How to calculate the LCM of 969, 494, 780, 320, 310?
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 969, 494, 780, 320, 310.
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}.