Find the LCM of 252, 889, 344, 898, 676 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 252, 889, 344, 898, 676. So, keep reading to learn more.
Given numbers are 252,889,344,898,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,889,344,898,676 is 208850615064.
Find LCM of 252,889,344,898,676 with Prime Factorization
2 | 252, 889, 344, 898, 676 |
2 | 126, 889, 172, 449, 338 |
7 | 63, 889, 86, 449, 169 |
9, 127, 86, 449, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 9 x 127 x 86 x 449 x 169 = 208850615064
Therefore, the lowest common multiple of 252,889,344,898,676 is 208850615064.
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.
252 x 889 x 344 x 898 x 676 = 46782537774336
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
889 : 1, 7, 127, 889
344 : 1, 2, 4, 8, 43, 86, 172, 344
898 : 1, 2, 449, 898
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,889,344,898,676, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
889:7x 127
344:2x 2x 2x 43
898:2x 449
676:2x 2x 13x 13
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 7 = 224
Therefore, the value for common factors is 224.
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 = 46782537774336/(1x224)
LCM = 46782537774336/224
LCM = 208850615064
Thus, we can understand that the LCM of 252,889,344,898,676 is 208850615064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 252, 889, 344, 898, 676?
Answer: LCM of 252, 889, 344, 898, 676 is 208850615064.
2. How to calculate the LCM of 252, 889, 344, 898, 676?
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 252, 889, 344, 898, 676.
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}.