Find the LCM of 154, 893, 212, 893, 252 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 154, 893, 212, 893, 252. So, keep reading to learn more.
Given numbers are 154,893,212,893,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,893,212,893,252 is 131195988.
Find LCM of 154,893,212,893,252 with Prime Factorization
2 | 154, 893, 212, 893, 252 |
2 | 77, 893, 106, 893, 126 |
7 | 77, 893, 53, 893, 63 |
19 | 11, 893, 53, 893, 9 |
47 | 11, 47, 53, 47, 9 |
11, 1, 53, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 47 x 11 x 1 x 53 x 1 x 9 = 131195988
Therefore, the lowest common multiple of 154,893,212,893,252 is 131195988.
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.
154 x 893 x 212 x 893 x 252 = 6560848967904
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
893 : 1, 19, 47, 893
212 : 1, 2, 4, 53, 106, 212
893 : 1, 19, 47, 893
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,893,212,893,252, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
893:19x 47
212:2x 2x 53
893:19x 47
252:2x 2x 3x 3x 7
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 7x 19x 47 = 50008
Therefore, the value for common factors is 50008.
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 = 6560848967904/(1x50008)
LCM = 6560848967904/50008
LCM = 131195988
Thus, we can understand that the LCM of 154,893,212,893,252 is 131195988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 893, 212, 893, 252?
Answer: LCM of 154, 893, 212, 893, 252 is 131195988.
2. How to calculate the LCM of 154, 893, 212, 893, 252?
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 154, 893, 212, 893, 252.
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}.