LCM of 299, 471, 440, 869, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 471, 440, 869, 940 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 299, 471, 440, 869, 940. So, keep reading to learn more.
Given numbers are 299,471,440,869,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,471,440,869,940 is 230075153880.
Find LCM of 299,471,440,869,940 with Prime Factorization
| 2 | 299, 471, 440, 869, 940 |
| 2 | 299, 471, 220, 869, 470 |
| 5 | 299, 471, 110, 869, 235 |
| 11 | 299, 471, 22, 869, 47 |
| 299, 471, 2, 79, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 299 x 471 x 2 x 79 x 47 = 230075153880
Therefore, the lowest common multiple of 299,471,440,869,940 is 230075153880.
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.
299 x 471 x 440 x 869 x 940 = 50616533853600
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.
299 : 1, 13, 23, 299
471 : 1, 3, 157, 471
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
869 : 1, 11, 79, 869
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,471,440,869,940, is 1.
Now, the common factors can be found like this.
299:13x 23
471:3x 157
440:2x 2x 2x 5x 11
869:11x 79
940:2x 2x 5x 47
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 50616533853600/(1x220)
LCM = 50616533853600/220
LCM = 230075153880
Thus, we can understand that the LCM of 299,471,440,869,940 is 230075153880.
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FAQs on LCM of 299, 471, 440, 869, 940
1. What is the LCM of 299, 471, 440, 869, 940?
Answer: LCM of 299, 471, 440, 869, 940 is 230075153880.
2. How to calculate the LCM of 299, 471, 440, 869, 940?
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 299, 471, 440, 869, 940.
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}.