LCM of 407, 260, 923, 286, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 260, 923, 286, 900 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 407, 260, 923, 286, 900. So, keep reading to learn more.
Given numbers are 407,260,923,286,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,260,923,286,900 is 338094900.
Find LCM of 407,260,923,286,900 with Prime Factorization
| 2 | 407, 260, 923, 286, 900 |
| 2 | 407, 130, 923, 143, 450 |
| 5 | 407, 65, 923, 143, 225 |
| 11 | 407, 13, 923, 143, 45 |
| 13 | 37, 13, 923, 13, 45 |
| 37, 1, 71, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 37 x 1 x 71 x 1 x 45 = 338094900
Therefore, the lowest common multiple of 407,260,923,286,900 is 338094900.
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.
407 x 260 x 923 x 286 x 900 = 25140736764000
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.
407 : 1, 11, 37, 407
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
923 : 1, 13, 71, 923
286 : 1, 2, 11, 13, 22, 26, 143, 286
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,260,923,286,900, is 1.
Now, the common factors can be found like this.
407:11x 37
260:2x 2x 5x 13
923:13x 71
286:2x 11x 13
900:2x 2x 3x 3x 5x 5
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 5x 11x 13x 13 = 74360
Therefore, the value for common factors is 74360.
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 = 25140736764000/(1x74360)
LCM = 25140736764000/74360
LCM = 338094900
Thus, we can understand that the LCM of 407,260,923,286,900 is 338094900.
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FAQs on LCM of 407, 260, 923, 286, 900
1. What is the LCM of 407, 260, 923, 286, 900?
Answer: LCM of 407, 260, 923, 286, 900 is 338094900.
2. How to calculate the LCM of 407, 260, 923, 286, 900?
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 407, 260, 923, 286, 900.
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}.