LCM of 781, 418, 909, 551, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 418, 909, 551, 706 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 781, 418, 909, 551, 706. So, keep reading to learn more.
Given numbers are 781,418,909,551,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,418,909,551,706 is 276166640574.
Find LCM of 781,418,909,551,706 with Prime Factorization
| 2 | 781, 418, 909, 551, 706 |
| 11 | 781, 209, 909, 551, 353 |
| 19 | 71, 19, 909, 551, 353 |
| 71, 1, 909, 29, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 71 x 1 x 909 x 29 x 353 = 276166640574
Therefore, the lowest common multiple of 781,418,909,551,706 is 276166640574.
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.
781 x 418 x 909 x 551 x 706 = 115437655759932
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.
781 : 1, 11, 71, 781
418 : 1, 2, 11, 19, 22, 38, 209, 418
909 : 1, 3, 9, 101, 303, 909
551 : 1, 19, 29, 551
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,418,909,551,706, is 1.
Now, the common factors can be found like this.
781:11x 71
418:2x 11x 19
909:3x 3x 101
551:19x 29
706:2x 353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 115437655759932/(1x418)
LCM = 115437655759932/418
LCM = 276166640574
Thus, we can understand that the LCM of 781,418,909,551,706 is 276166640574.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 418, 909, 551, 706
1. What is the LCM of 781, 418, 909, 551, 706?
Answer: LCM of 781, 418, 909, 551, 706 is 276166640574.
2. How to calculate the LCM of 781, 418, 909, 551, 706?
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 781, 418, 909, 551, 706.
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}.