Find the LCM of 909, 968, 533, 871, 535 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 909, 968, 533, 871, 535. So, keep reading to learn more.
Given numbers are 909,968,533,871,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,968,533,871,535 is 16811057526120.
Find LCM of 909,968,533,871,535 with Prime Factorization
13 | 909, 968, 533, 871, 535 |
909, 968, 41, 67, 535 |
Multiply the prime numbers at the bottom and the left side.
13 x 909 x 968 x 41 x 67 x 535 = 16811057526120
Therefore, the lowest common multiple of 909,968,533,871,535 is 16811057526120.
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.
909 x 968 x 533 x 871 x 535 = 218543747839560
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.
909 : 1, 3, 9, 101, 303, 909
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
533 : 1, 13, 41, 533
871 : 1, 13, 67, 871
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,968,533,871,535, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
968:2x 2x 2x 11x 11
533:13x 41
871:13x 67
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 218543747839560/(1x13)
LCM = 218543747839560/13
LCM = 16811057526120
Thus, we can understand that the LCM of 909,968,533,871,535 is 16811057526120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 968, 533, 871, 535?
Answer: LCM of 909, 968, 533, 871, 535 is 16811057526120.
2. How to calculate the LCM of 909, 968, 533, 871, 535?
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 909, 968, 533, 871, 535.
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}.