LCM of 676, 460, 940, 286, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 460, 940, 286, 330 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 676, 460, 940, 286, 330. So, keep reading to learn more.
Given numbers are 676,460,940,286,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,460,940,286,330 is 120574740.
Find LCM of 676,460,940,286,330 with Prime Factorization
| 2 | 676, 460, 940, 286, 330 |
| 2 | 338, 230, 470, 143, 165 |
| 5 | 169, 115, 235, 143, 165 |
| 11 | 169, 23, 47, 143, 33 |
| 13 | 169, 23, 47, 13, 3 |
| 1, 23, 47, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 1 x 23 x 47 x 13 x 3 = 120574740
Therefore, the lowest common multiple of 676,460,940,286,330 is 120574740.
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.
676 x 460 x 940 x 286 x 330 = 27587500512000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
286 : 1, 2, 11, 13, 22, 26, 143, 286
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,460,940,286,330, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
460:2x 2x 5x 23
940:2x 2x 5x 47
286:2x 11x 13
330:2x 3x 5x 11
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 2x 2x 5x 5x 11x 13 = 114400
Therefore, the value for common factors is 114400.
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 = 27587500512000/(2x114400)
LCM = 27587500512000/228800
LCM = 120574740
Thus, we can understand that the LCM of 676,460,940,286,330 is 120574740.
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FAQs on LCM of 676, 460, 940, 286, 330
1. What is the LCM of 676, 460, 940, 286, 330?
Answer: LCM of 676, 460, 940, 286, 330 is 120574740.
2. How to calculate the LCM of 676, 460, 940, 286, 330?
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 676, 460, 940, 286, 330.
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}.