Find the LCM of 562, 302, 649, 884, 607 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 562, 302, 649, 884, 607. So, keep reading to learn more.
Given numbers are 562,302,649,884,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,302,649,884,607 is 14776409562772.
Find LCM of 562,302,649,884,607 with Prime Factorization
2 | 562, 302, 649, 884, 607 |
281, 151, 649, 442, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 281 x 151 x 649 x 442 x 607 = 14776409562772
Therefore, the lowest common multiple of 562,302,649,884,607 is 14776409562772.
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.
562 x 302 x 649 x 884 x 607 = 59105638251088
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.
562 : 1, 2, 281, 562
302 : 1, 2, 151, 302
649 : 1, 11, 59, 649
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,302,649,884,607, is 1.
Now, the common factors can be found like this.
562:2x 281
302:2x 151
649:11x 59
884:2x 2x 13x 17
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 59105638251088/(1x4)
LCM = 59105638251088/4
LCM = 14776409562772
Thus, we can understand that the LCM of 562,302,649,884,607 is 14776409562772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 302, 649, 884, 607?
Answer: LCM of 562, 302, 649, 884, 607 is 14776409562772.
2. How to calculate the LCM of 562, 302, 649, 884, 607?
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 562, 302, 649, 884, 607.
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}.