Find the LCM of 639, 403, 586, 762, 594 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 639, 403, 586, 762, 594. So, keep reading to learn more.
Given numbers are 639,403,586,762,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,403,586,762,594 is 632442695742.
Find LCM of 639,403,586,762,594 with Prime Factorization
2 | 639, 403, 586, 762, 594 |
3 | 639, 403, 293, 381, 297 |
3 | 213, 403, 293, 127, 99 |
71, 403, 293, 127, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 71 x 403 x 293 x 127 x 33 = 632442695742
Therefore, the lowest common multiple of 639,403,586,762,594 is 632442695742.
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.
639 x 403 x 586 x 762 x 594 = 68303811140136
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.
639 : 1, 3, 9, 71, 213, 639
403 : 1, 13, 31, 403
586 : 1, 2, 293, 586
762 : 1, 2, 3, 6, 127, 254, 381, 762
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,403,586,762,594, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
403:13x 31
586:2x 293
762:2x 3x 127
594:2x 3x 3x 3x 11
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 68303811140136/(1x108)
LCM = 68303811140136/108
LCM = 632442695742
Thus, we can understand that the LCM of 639,403,586,762,594 is 632442695742.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 639, 403, 586, 762, 594?
Answer: LCM of 639, 403, 586, 762, 594 is 632442695742.
2. How to calculate the LCM of 639, 403, 586, 762, 594?
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 639, 403, 586, 762, 594.
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}.