Find the LCM of 606, 626, 132, 342, 592 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 606, 626, 132, 342, 592. So, keep reading to learn more.
Given numbers are 606,626,132,342,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,626,132,342,592 is 35202719376.
Find LCM of 606,626,132,342,592 with Prime Factorization
2 | 606, 626, 132, 342, 592 |
2 | 303, 313, 66, 171, 296 |
3 | 303, 313, 33, 171, 148 |
101, 313, 11, 57, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 313 x 11 x 57 x 148 = 35202719376
Therefore, the lowest common multiple of 606,626,132,342,592 is 35202719376.
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.
606 x 626 x 132 x 342 x 592 = 10138383180288
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
626 : 1, 2, 313, 626
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,626,132,342,592, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
626:2x 313
132:2x 2x 3x 11
342:2x 3x 3x 19
592:2x 2x 2x 2x 37
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 3 = 144
Therefore, the value for common factors is 144.
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 = 10138383180288/(2x144)
LCM = 10138383180288/288
LCM = 35202719376
Thus, we can understand that the LCM of 606,626,132,342,592 is 35202719376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 626, 132, 342, 592?
Answer: LCM of 606, 626, 132, 342, 592 is 35202719376.
2. How to calculate the LCM of 606, 626, 132, 342, 592?
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 606, 626, 132, 342, 592.
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}.