Find the LCM of 564, 817, 806, 362, 136 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, 817, 806, 362, 136. So, keep reading to learn more.
Given numbers are 564,817,806,362,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,817,806,362,136 is 1142782808856.
Find LCM of 564,817,806,362,136 with Prime Factorization
2 | 564, 817, 806, 362, 136 |
2 | 282, 817, 403, 181, 68 |
141, 817, 403, 181, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 141 x 817 x 403 x 181 x 34 = 1142782808856
Therefore, the lowest common multiple of 564,817,806,362,136 is 1142782808856.
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 817 x 806 x 362 x 136 = 18284524941696
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
817 : 1, 19, 43, 817
806 : 1, 2, 13, 26, 31, 62, 403, 806
362 : 1, 2, 181, 362
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,817,806,362,136, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
817:19x 43
806:2x 13x 31
362:2x 181
136:2x 2x 2x 17
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 2 = 16
Therefore, the value for common factors is 16.
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 = 18284524941696/(1x16)
LCM = 18284524941696/16
LCM = 1142782808856
Thus, we can understand that the LCM of 564,817,806,362,136 is 1142782808856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 817, 806, 362, 136?
Answer: LCM of 564, 817, 806, 362, 136 is 1142782808856.
2. How to calculate the LCM of 564, 817, 806, 362, 136?
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, 817, 806, 362, 136.
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}.