LCM of 627, 886, 948, 849, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 886, 948, 849, 849 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 627, 886, 948, 849, 849. So, keep reading to learn more.
Given numbers are 627,886,948,849,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,886,948,849,849 is 24839610708.
Find LCM of 627,886,948,849,849 with Prime Factorization
| 2 | 627, 886, 948, 849, 849 |
| 3 | 627, 443, 474, 849, 849 |
| 283 | 209, 443, 158, 283, 283 |
| 209, 443, 158, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 209 x 443 x 158 x 1 x 1 = 24839610708
Therefore, the lowest common multiple of 627,886,948,849,849 is 24839610708.
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.
627 x 886 x 948 x 849 x 849 = 379598930839656
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
886 : 1, 2, 443, 886
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
849 : 1, 3, 283, 849
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,886,948,849,849, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
886:2x 443
948:2x 2x 3x 79
849:3x 283
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 283 = 15282
Therefore, the value for common factors is 15282.
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 = 379598930839656/(1x15282)
LCM = 379598930839656/15282
LCM = 24839610708
Thus, we can understand that the LCM of 627,886,948,849,849 is 24839610708.
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FAQs on LCM of 627, 886, 948, 849, 849
1. What is the LCM of 627, 886, 948, 849, 849?
Answer: LCM of 627, 886, 948, 849, 849 is 24839610708.
2. How to calculate the LCM of 627, 886, 948, 849, 849?
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 627, 886, 948, 849, 849.
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}.