LCM of 262, 560, 659, 560, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 560, 659, 560, 701 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 262, 560, 659, 560, 701. So, keep reading to learn more.
Given numbers are 262,560,659,560,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,560,659,560,701 is 33889312240.
Find LCM of 262,560,659,560,701 with Prime Factorization
| 2 | 262, 560, 659, 560, 701 |
| 2 | 131, 280, 659, 280, 701 |
| 2 | 131, 140, 659, 140, 701 |
| 2 | 131, 70, 659, 70, 701 |
| 5 | 131, 35, 659, 35, 701 |
| 7 | 131, 7, 659, 7, 701 |
| 131, 1, 659, 1, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 131 x 1 x 659 x 1 x 701 = 33889312240
Therefore, the lowest common multiple of 262,560,659,560,701 is 33889312240.
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.
262 x 560 x 659 x 560 x 701 = 37956029708800
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.
262 : 1, 2, 131, 262
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
659 : 1, 659
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,560,659,560,701, is 1.
Now, the common factors can be found like this.
262:2x 131
560:2x 2x 2x 2x 5x 7
659:659
560:2x 2x 2x 2x 5x 7
701:701
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 7 = 1120
Therefore, the value for common factors is 1120.
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 = 37956029708800/(1x1120)
LCM = 37956029708800/1120
LCM = 33889312240
Thus, we can understand that the LCM of 262,560,659,560,701 is 33889312240.
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FAQs on LCM of 262, 560, 659, 560, 701
1. What is the LCM of 262, 560, 659, 560, 701?
Answer: LCM of 262, 560, 659, 560, 701 is 33889312240.
2. How to calculate the LCM of 262, 560, 659, 560, 701?
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 262, 560, 659, 560, 701.
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}.