LCM of 280, 286, 676, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 286, 676, 130 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 280, 286, 676, 130. So, keep reading to learn more.
Given numbers are 280,286,676,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,286,676,130 is 520520.
Find LCM of 280,286,676,130 with Prime Factorization
| 2 | 280, 286, 676, 130 |
| 2 | 140, 143, 338, 65 |
| 5 | 70, 143, 169, 65 |
| 13 | 14, 143, 169, 13 |
| 14, 11, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 14 x 11 x 1 x 13 = 520520
Therefore, the lowest common multiple of 280,286,676,130 is 520520.
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.
280 x 286 x 676 x 130 = 7037430400
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
286 : 1, 2, 11, 13, 22, 26, 143, 286
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
130 : 1, 2, 5, 10, 13, 26, 65, 130
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,286,676,130, is 2.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
286:2x 11x 13
676:2x 2x 13x 13
130:2x 5x 13
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 13x 13 = 6760
Therefore, the value for common factors is 6760.
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 = 7037430400/(2x6760)
LCM = 7037430400/13520
LCM = 520520
Thus, we can understand that the LCM of 280,286,676,130 is 520520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 280, 286, 676, 130
1. What is the LCM of 280, 286, 676, 130?
Answer: LCM of 280, 286, 676, 130 is 520520.
2. How to calculate the LCM of 280, 286, 676, 130?
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 280, 286, 676, 130.
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}.