Find the LCM of 608, 988, 606, 784, 988 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, 988, 606, 784, 988. So, keep reading to learn more.
Given numbers are 608,988,606,784,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,988,606,784,988 is 117350688.
Find LCM of 608,988,606,784,988 with Prime Factorization
2 | 608, 988, 606, 784, 988 |
2 | 304, 494, 303, 392, 494 |
2 | 152, 247, 303, 196, 247 |
2 | 76, 247, 303, 98, 247 |
13 | 38, 247, 303, 49, 247 |
19 | 38, 19, 303, 49, 19 |
2, 1, 303, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 19 x 2 x 1 x 303 x 49 x 1 = 117350688
Therefore, the lowest common multiple of 608,988,606,784,988 is 117350688.
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 988 x 606 x 784 x 988 = 281972110737408
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
606 : 1, 2, 3, 6, 101, 202, 303, 606
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,988,606,784,988, is 2.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
988:2x 2x 13x 19
606:2x 3x 101
784:2x 2x 2x 2x 7x 7
988:2x 2x 13x 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 2x 2x 2x 13x 19x 19 = 1201408
Therefore, the value for common factors is 1201408.
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 = 281972110737408/(2x1201408)
LCM = 281972110737408/2402816
LCM = 117350688
Thus, we can understand that the LCM of 608,988,606,784,988 is 117350688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 988, 606, 784, 988?
Answer: LCM of 608, 988, 606, 784, 988 is 117350688.
2. How to calculate the LCM of 608, 988, 606, 784, 988?
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, 988, 606, 784, 988.
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}.