LCM of 560, 324, 701, 476, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 324, 701, 476, 389 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 560, 324, 701, 476, 389. So, keep reading to learn more.
Given numbers are 560,324,701,476,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,324,701,476,389 is 210275941680.
Find LCM of 560,324,701,476,389 with Prime Factorization
| 2 | 560, 324, 701, 476, 389 |
| 2 | 280, 162, 701, 238, 389 |
| 7 | 140, 81, 701, 119, 389 |
| 20, 81, 701, 17, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 20 x 81 x 701 x 17 x 389 = 210275941680
Therefore, the lowest common multiple of 560,324,701,476,389 is 210275941680.
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.
560 x 324 x 701 x 476 x 389 = 23550905468160
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
701 : 1, 701
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,324,701,476,389, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
324:2x 2x 3x 3x 3x 3
701:701
476:2x 2x 7x 17
389:389
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 7 = 112
Therefore, the value for common factors is 112.
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 = 23550905468160/(1x112)
LCM = 23550905468160/112
LCM = 210275941680
Thus, we can understand that the LCM of 560,324,701,476,389 is 210275941680.
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FAQs on LCM of 560, 324, 701, 476, 389
1. What is the LCM of 560, 324, 701, 476, 389?
Answer: LCM of 560, 324, 701, 476, 389 is 210275941680.
2. How to calculate the LCM of 560, 324, 701, 476, 389?
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 560, 324, 701, 476, 389.
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}.