Find the LCM of 857, 532, 266, 534, 560 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 857, 532, 266, 534, 560. So, keep reading to learn more.
Given numbers are 857,532,266,534,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,532,266,534,560 is 2434634160.
Find LCM of 857,532,266,534,560 with Prime Factorization
2 | 857, 532, 266, 534, 560 |
2 | 857, 266, 133, 267, 280 |
7 | 857, 133, 133, 267, 140 |
19 | 857, 19, 19, 267, 20 |
857, 1, 1, 267, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 857 x 1 x 1 x 267 x 20 = 2434634160
Therefore, the lowest common multiple of 857,532,266,534,560 is 2434634160.
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.
857 x 532 x 266 x 534 x 560 = 36266310447360
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.
857 : 1, 857
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
266 : 1, 2, 7, 14, 19, 38, 133, 266
534 : 1, 2, 3, 6, 89, 178, 267, 534
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,532,266,534,560, is 1.
Now, the common factors can be found like this.
857:857
532:2x 2x 7x 19
266:2x 7x 19
534:2x 3x 89
560:2x 2x 2x 2x 5x 7
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 7x 7x 19 = 14896
Therefore, the value for common factors is 14896.
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 = 36266310447360/(1x14896)
LCM = 36266310447360/14896
LCM = 2434634160
Thus, we can understand that the LCM of 857,532,266,534,560 is 2434634160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 857, 532, 266, 534, 560?
Answer: LCM of 857, 532, 266, 534, 560 is 2434634160.
2. How to calculate the LCM of 857, 532, 266, 534, 560?
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 857, 532, 266, 534, 560.
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}.