Find the LCM of 312, 705, 331, 966, 760 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 312, 705, 331, 966, 760. So, keep reading to learn more.
Given numbers are 312,705,331,966,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,705,331,966,760 is 74238626280.
Find LCM of 312,705,331,966,760 with Prime Factorization
2 | 312, 705, 331, 966, 760 |
2 | 156, 705, 331, 483, 380 |
2 | 78, 705, 331, 483, 190 |
3 | 39, 705, 331, 483, 95 |
5 | 13, 235, 331, 161, 95 |
13, 47, 331, 161, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 47 x 331 x 161 x 19 = 74238626280
Therefore, the lowest common multiple of 312,705,331,966,760 is 74238626280.
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.
312 x 705 x 331 x 966 x 760 = 53451810921600
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
705 : 1, 3, 5, 15, 47, 141, 235, 705
331 : 1, 331
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,705,331,966,760, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
705:3x 5x 47
331:331
966:2x 3x 7x 23
760:2x 2x 2x 5x 19
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 53451810921600/(1x720)
LCM = 53451810921600/720
LCM = 74238626280
Thus, we can understand that the LCM of 312,705,331,966,760 is 74238626280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 705, 331, 966, 760?
Answer: LCM of 312, 705, 331, 966, 760 is 74238626280.
2. How to calculate the LCM of 312, 705, 331, 966, 760?
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 312, 705, 331, 966, 760.
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}.