Find the LCM of 143, 638, 184, 851, 651 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 143, 638, 184, 851, 651. So, keep reading to learn more.
Given numbers are 143,638,184,851,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,638,184,851,651 is 18379537176.
Find LCM of 143,638,184,851,651 with Prime Factorization
2 | 143, 638, 184, 851, 651 |
11 | 143, 319, 92, 851, 651 |
23 | 13, 29, 92, 851, 651 |
13, 29, 4, 37, 651 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 13 x 29 x 4 x 37 x 651 = 18379537176
Therefore, the lowest common multiple of 143,638,184,851,651 is 18379537176.
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.
143 x 638 x 184 x 851 x 651 = 9300045811056
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.
143 : 1, 11, 13, 143
638 : 1, 2, 11, 22, 29, 58, 319, 638
184 : 1, 2, 4, 8, 23, 46, 92, 184
851 : 1, 23, 37, 851
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,638,184,851,651, is 1.
Now, the common factors can be found like this.
143:11x 13
638:2x 11x 29
184:2x 2x 2x 23
851:23x 37
651:3x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 9300045811056/(1x506)
LCM = 9300045811056/506
LCM = 18379537176
Thus, we can understand that the LCM of 143,638,184,851,651 is 18379537176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 638, 184, 851, 651?
Answer: LCM of 143, 638, 184, 851, 651 is 18379537176.
2. How to calculate the LCM of 143, 638, 184, 851, 651?
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 143, 638, 184, 851, 651.
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}.