Find the LCM of 549, 606, 607, 362, 738 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 549, 606, 607, 362, 738. So, keep reading to learn more.
Given numbers are 549,606,607,362,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,606,607,362,738 is 499545253206.
Find LCM of 549,606,607,362,738 with Prime Factorization
2 | 549, 606, 607, 362, 738 |
3 | 549, 303, 607, 181, 369 |
3 | 183, 101, 607, 181, 123 |
61, 101, 607, 181, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 61 x 101 x 607 x 181 x 41 = 499545253206
Therefore, the lowest common multiple of 549,606,607,362,738 is 499545253206.
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.
549 x 606 x 607 x 362 x 738 = 53950887346248
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.
549 : 1, 3, 9, 61, 183, 549
606 : 1, 2, 3, 6, 101, 202, 303, 606
607 : 1, 607
362 : 1, 2, 181, 362
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,606,607,362,738, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
606:2x 3x 101
607:607
362:2x 181
738:2x 3x 3x 41
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 53950887346248/(1x108)
LCM = 53950887346248/108
LCM = 499545253206
Thus, we can understand that the LCM of 549,606,607,362,738 is 499545253206.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 606, 607, 362, 738?
Answer: LCM of 549, 606, 607, 362, 738 is 499545253206.
2. How to calculate the LCM of 549, 606, 607, 362, 738?
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 549, 606, 607, 362, 738.
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}.