Find the LCM of 209, 851, 236, 607, 400 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 209, 851, 236, 607, 400. So, keep reading to learn more.
Given numbers are 209,851,236,607,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,851,236,607,400 is 2547865746800.
Find LCM of 209,851,236,607,400 with Prime Factorization
2 | 209, 851, 236, 607, 400 |
2 | 209, 851, 118, 607, 200 |
209, 851, 59, 607, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 209 x 851 x 59 x 607 x 100 = 2547865746800
Therefore, the lowest common multiple of 209,851,236,607,400 is 2547865746800.
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.
209 x 851 x 236 x 607 x 400 = 10191462987200
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.
209 : 1, 11, 19, 209
851 : 1, 23, 37, 851
236 : 1, 2, 4, 59, 118, 236
607 : 1, 607
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,851,236,607,400, is 1.
Now, the common factors can be found like this.
209:11x 19
851:23x 37
236:2x 2x 59
607:607
400:2x 2x 2x 2x 5x 5
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 = 10191462987200/(1x4)
LCM = 10191462987200/4
LCM = 2547865746800
Thus, we can understand that the LCM of 209,851,236,607,400 is 2547865746800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 851, 236, 607, 400?
Answer: LCM of 209, 851, 236, 607, 400 is 2547865746800.
2. How to calculate the LCM of 209, 851, 236, 607, 400?
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 209, 851, 236, 607, 400.
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}.