Find the LCM of 236, 823, 909, 808, 368 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 236, 823, 909, 808, 368. So, keep reading to learn more.
Given numbers are 236,823,909,808,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,823,909,808,368 is 16242899184.
Find LCM of 236,823,909,808,368 with Prime Factorization
2 | 236, 823, 909, 808, 368 |
2 | 118, 823, 909, 404, 184 |
2 | 59, 823, 909, 202, 92 |
101 | 59, 823, 909, 101, 46 |
59, 823, 9, 1, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 59 x 823 x 9 x 1 x 46 = 16242899184
Therefore, the lowest common multiple of 236,823,909,808,368 is 16242899184.
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.
236 x 823 x 909 x 808 x 368 = 52497050162688
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.
236 : 1, 2, 4, 59, 118, 236
823 : 1, 823
909 : 1, 3, 9, 101, 303, 909
808 : 1, 2, 4, 8, 101, 202, 404, 808
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,823,909,808,368, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
823:823
909:3x 3x 101
808:2x 2x 2x 101
368:2x 2x 2x 2x 23
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 101 = 3232
Therefore, the value for common factors is 3232.
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 = 52497050162688/(1x3232)
LCM = 52497050162688/3232
LCM = 16242899184
Thus, we can understand that the LCM of 236,823,909,808,368 is 16242899184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 823, 909, 808, 368?
Answer: LCM of 236, 823, 909, 808, 368 is 16242899184.
2. How to calculate the LCM of 236, 823, 909, 808, 368?
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 236, 823, 909, 808, 368.
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}.