Find the LCM of 564, 254, 207, 810, 906 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 564, 254, 207, 810, 906. So, keep reading to learn more.
Given numbers are 564,254,207,810,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,254,207,810,906 is 33583145940.
Find LCM of 564,254,207,810,906 with Prime Factorization
2 | 564, 254, 207, 810, 906 |
3 | 282, 127, 207, 405, 453 |
3 | 94, 127, 69, 135, 151 |
94, 127, 23, 45, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 94 x 127 x 23 x 45 x 151 = 33583145940
Therefore, the lowest common multiple of 564,254,207,810,906 is 33583145940.
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.
564 x 254 x 207 x 810 x 906 = 21761878569120
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
254 : 1, 2, 127, 254
207 : 1, 3, 9, 23, 69, 207
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,254,207,810,906, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
254:2x 127
207:3x 3x 23
810:2x 3x 3x 3x 3x 5
906:2x 3x 151
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 21761878569120/(1x648)
LCM = 21761878569120/648
LCM = 33583145940
Thus, we can understand that the LCM of 564,254,207,810,906 is 33583145940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 254, 207, 810, 906?
Answer: LCM of 564, 254, 207, 810, 906 is 33583145940.
2. How to calculate the LCM of 564, 254, 207, 810, 906?
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 564, 254, 207, 810, 906.
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}.