LCM of 418, 527, 413, 663, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 527, 413, 663, 962 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 418, 527, 413, 663, 962. So, keep reading to learn more.
Given numbers are 418,527,413,663,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,527,413,663,962 is 131281424274.
Find LCM of 418,527,413,663,962 with Prime Factorization
| 2 | 418, 527, 413, 663, 962 |
| 13 | 209, 527, 413, 663, 481 |
| 17 | 209, 527, 413, 51, 37 |
| 209, 31, 413, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 209 x 31 x 413 x 3 x 37 = 131281424274
Therefore, the lowest common multiple of 418,527,413,663,962 is 131281424274.
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.
418 x 527 x 413 x 663 x 962 = 58026389529108
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
527 : 1, 17, 31, 527
413 : 1, 7, 59, 413
663 : 1, 3, 13, 17, 39, 51, 221, 663
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,527,413,663,962, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
527:17x 31
413:7x 59
663:3x 13x 17
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 58026389529108/(1x442)
LCM = 58026389529108/442
LCM = 131281424274
Thus, we can understand that the LCM of 418,527,413,663,962 is 131281424274.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 527, 413, 663, 962
1. What is the LCM of 418, 527, 413, 663, 962?
Answer: LCM of 418, 527, 413, 663, 962 is 131281424274.
2. How to calculate the LCM of 418, 527, 413, 663, 962?
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 418, 527, 413, 663, 962.
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}.