LCM of 676, 240, 586, 309, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 240, 586, 309, 522 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, 240, 586, 309, 522. So, keep reading to learn more.
Given numbers are 676,240,586,309,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,240,586,309,522 is 106493240880.
Find LCM of 676,240,586,309,522 with Prime Factorization
| 2 | 676, 240, 586, 309, 522 |
| 2 | 338, 120, 293, 309, 261 |
| 3 | 169, 60, 293, 309, 261 |
| 169, 20, 293, 103, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 169 x 20 x 293 x 103 x 87 = 106493240880
Therefore, the lowest common multiple of 676,240,586,309,522 is 106493240880.
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 240 x 586 x 309 x 522 = 15335026686720
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
586 : 1, 2, 293, 586
309 : 1, 3, 103, 309
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,240,586,309,522, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
240:2x 2x 2x 2x 3x 5
586:2x 293
309:3x 103
522:2x 3x 3x 29
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 15335026686720/(1x144)
LCM = 15335026686720/144
LCM = 106493240880
Thus, we can understand that the LCM of 676,240,586,309,522 is 106493240880.
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FAQs on LCM of 676, 240, 586, 309, 522
1. What is the LCM of 676, 240, 586, 309, 522?
Answer: LCM of 676, 240, 586, 309, 522 is 106493240880.
2. How to calculate the LCM of 676, 240, 586, 309, 522?
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, 240, 586, 309, 522.
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}.