Find the LCM of 343, 784, 132, 560, 584 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 343, 784, 132, 560, 584. So, keep reading to learn more.
Given numbers are 343,784,132,560,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,784,132,560,584 is 66102960.
Find LCM of 343,784,132,560,584 with Prime Factorization
2 | 343, 784, 132, 560, 584 |
2 | 343, 392, 66, 280, 292 |
2 | 343, 196, 33, 140, 146 |
2 | 343, 98, 33, 70, 73 |
7 | 343, 49, 33, 35, 73 |
7 | 7, 49, 33, 5, 73 |
1, 7, 33, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 1 x 7 x 33 x 5 x 73 = 66102960
Therefore, the lowest common multiple of 343,784,132,560,584 is 66102960.
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.
343 x 784 x 132 x 560 x 584 = 11608737423360
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.
343 : 1, 7, 49, 343
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,784,132,560,584, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
784:2x 2x 2x 2x 7x 7
132:2x 2x 3x 11
560:2x 2x 2x 2x 5x 7
584:2x 2x 2x 73
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 2x 2x 2x 2x 7x 7x 7 = 175616
Therefore, the value for common factors is 175616.
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 = 11608737423360/(1x175616)
LCM = 11608737423360/175616
LCM = 66102960
Thus, we can understand that the LCM of 343,784,132,560,584 is 66102960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 784, 132, 560, 584?
Answer: LCM of 343, 784, 132, 560, 584 is 66102960.
2. How to calculate the LCM of 343, 784, 132, 560, 584?
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 343, 784, 132, 560, 584.
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}.