LCM of 911, 436, 954, 106, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 911, 436, 954, 106, 701 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 911, 436, 954, 106, 701. So, keep reading to learn more.
Given numbers are 911,436,954,106,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,436,954,106,701 is 132813206892.
Find LCM of 911,436,954,106,701 with Prime Factorization
| 2 | 911, 436, 954, 106, 701 |
| 53 | 911, 218, 477, 53, 701 |
| 911, 218, 9, 1, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 911 x 218 x 9 x 1 x 701 = 132813206892
Therefore, the lowest common multiple of 911,436,954,106,701 is 132813206892.
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.
911 x 436 x 954 x 106 x 701 = 28156399861104
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.
911 : 1, 911
436 : 1, 2, 4, 109, 218, 436
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
106 : 1, 2, 53, 106
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,436,954,106,701, is 1.
Now, the common factors can be found like this.
911:911
436:2x 2x 109
954:2x 3x 3x 53
106:2x 53
701:701
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 53 = 212
Therefore, the value for common factors is 212.
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 = 28156399861104/(1x212)
LCM = 28156399861104/212
LCM = 132813206892
Thus, we can understand that the LCM of 911,436,954,106,701 is 132813206892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 911, 436, 954, 106, 701
1. What is the LCM of 911, 436, 954, 106, 701?
Answer: LCM of 911, 436, 954, 106, 701 is 132813206892.
2. How to calculate the LCM of 911, 436, 954, 106, 701?
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 911, 436, 954, 106, 701.
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}.