Find the LCM of 608, 582, 524, 524, 748 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 608, 582, 524, 524, 748. So, keep reading to learn more.
Given numbers are 608,582,524,524,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,582,524,524,748 is 4334205216.
Find LCM of 608,582,524,524,748 with Prime Factorization
2 | 608, 582, 524, 524, 748 |
2 | 304, 291, 262, 262, 374 |
131 | 152, 291, 131, 131, 187 |
152, 291, 1, 1, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 152 x 291 x 1 x 1 x 187 = 4334205216
Therefore, the lowest common multiple of 608,582,524,524,748 is 4334205216.
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.
608 x 582 x 524 x 524 x 748 = 72675953061888
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
582 : 1, 2, 3, 6, 97, 194, 291, 582
524 : 1, 2, 4, 131, 262, 524
524 : 1, 2, 4, 131, 262, 524
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,582,524,524,748, is 2.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
582:2x 3x 97
524:2x 2x 131
524:2x 2x 131
748:2x 2x 11x 17
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 131 = 8384
Therefore, the value for common factors is 8384.
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 = 72675953061888/(2x8384)
LCM = 72675953061888/16768
LCM = 4334205216
Thus, we can understand that the LCM of 608,582,524,524,748 is 4334205216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 582, 524, 524, 748?
Answer: LCM of 608, 582, 524, 524, 748 is 4334205216.
2. How to calculate the LCM of 608, 582, 524, 524, 748?
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 608, 582, 524, 524, 748.
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}.