Find the LCM of 763, 112, 584, 132, 323 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 763, 112, 584, 132, 323. So, keep reading to learn more.
Given numbers are 763,112,584,132,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,112,584,132,323 is 9499130256.
Find LCM of 763,112,584,132,323 with Prime Factorization
2 | 763, 112, 584, 132, 323 |
2 | 763, 56, 292, 66, 323 |
2 | 763, 28, 146, 33, 323 |
7 | 763, 14, 73, 33, 323 |
109, 2, 73, 33, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 109 x 2 x 73 x 33 x 323 = 9499130256
Therefore, the lowest common multiple of 763,112,584,132,323 is 9499130256.
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.
763 x 112 x 584 x 132 x 323 = 2127805177344
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.
763 : 1, 7, 109, 763
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
584 : 1, 2, 4, 8, 73, 146, 292, 584
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,112,584,132,323, is 1.
Now, the common factors can be found like this.
763:7x 109
112:2x 2x 2x 2x 7
584:2x 2x 2x 73
132:2x 2x 3x 11
323:17x 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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 2127805177344/(1x224)
LCM = 2127805177344/224
LCM = 9499130256
Thus, we can understand that the LCM of 763,112,584,132,323 is 9499130256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 112, 584, 132, 323?
Answer: LCM of 763, 112, 584, 132, 323 is 9499130256.
2. How to calculate the LCM of 763, 112, 584, 132, 323?
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 763, 112, 584, 132, 323.
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}.