Find the LCM of 780, 966, 442, 472 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 780, 966, 442, 472. So, keep reading to learn more.
Given numbers are 780,966,442,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,966,442,472 is 251913480.
Find LCM of 780,966,442,472 with Prime Factorization
2 | 780, 966, 442, 472 |
2 | 390, 483, 221, 236 |
3 | 195, 483, 221, 118 |
13 | 65, 161, 221, 118 |
5, 161, 17, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 5 x 161 x 17 x 118 = 251913480
Therefore, the lowest common multiple of 780,966,442,472 is 251913480.
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.
780 x 966 x 442 x 472 = 157194011520
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.
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
442 : 1, 2, 13, 17, 26, 34, 221, 442
472 : 1, 2, 4, 8, 59, 118, 236, 472
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,966,442,472, is 2.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
966:2x 3x 7x 23
442:2x 13x 17
472:2x 2x 2x 59
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 157194011520/(2x312)
LCM = 157194011520/624
LCM = 251913480
Thus, we can understand that the LCM of 780,966,442,472 is 251913480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 966, 442, 472?
Answer: LCM of 780, 966, 442, 472 is 251913480.
2. How to calculate the LCM of 780, 966, 442, 472?
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 780, 966, 442, 472.
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}.