LCM of 369, 887, 418, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 887, 418, 266 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 369, 887, 418, 266. So, keep reading to learn more.
Given numbers are 369,887,418,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,887,418,266 is 957688578.
Find LCM of 369,887,418,266 with Prime Factorization
| 2 | 369, 887, 418, 266 |
| 19 | 369, 887, 209, 133 |
| 369, 887, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 369 x 887 x 11 x 7 = 957688578
Therefore, the lowest common multiple of 369,887,418,266 is 957688578.
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.
369 x 887 x 418 x 266 = 36392165964
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.
369 : 1, 3, 9, 41, 123, 369
887 : 1, 887
418 : 1, 2, 11, 19, 22, 38, 209, 418
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,887,418,266, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
887:887
418:2x 11x 19
266:2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 36392165964/(1x38)
LCM = 36392165964/38
LCM = 957688578
Thus, we can understand that the LCM of 369,887,418,266 is 957688578.
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FAQs on LCM of 369, 887, 418, 266
1. What is the LCM of 369, 887, 418, 266?
Answer: LCM of 369, 887, 418, 266 is 957688578.
2. How to calculate the LCM of 369, 887, 418, 266?
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 369, 887, 418, 266.
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}.