LCM of 418, 902, 814, 261, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 902, 814, 261, 424 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, 902, 814, 261, 424. So, keep reading to learn more.
Given numbers are 418,902,814,261,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,902,814,261,424 is 35086353192.
Find LCM of 418,902,814,261,424 with Prime Factorization
| 2 | 418, 902, 814, 261, 424 |
| 11 | 209, 451, 407, 261, 212 |
| 19, 41, 37, 261, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 41 x 37 x 261 x 212 = 35086353192
Therefore, the lowest common multiple of 418,902,814,261,424 is 35086353192.
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 902 x 814 x 261 x 424 = 33963589889856
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
814 : 1, 2, 11, 22, 37, 74, 407, 814
261 : 1, 3, 9, 29, 87, 261
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,902,814,261,424, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
902:2x 11x 41
814:2x 11x 37
261:3x 3x 29
424:2x 2x 2x 53
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 33963589889856/(1x968)
LCM = 33963589889856/968
LCM = 35086353192
Thus, we can understand that the LCM of 418,902,814,261,424 is 35086353192.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 902, 814, 261, 424
1. What is the LCM of 418, 902, 814, 261, 424?
Answer: LCM of 418, 902, 814, 261, 424 is 35086353192.
2. How to calculate the LCM of 418, 902, 814, 261, 424?
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, 902, 814, 261, 424.
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}.