Find the LCM of 142, 630, 605, 762, 310 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 142, 630, 605, 762, 310. So, keep reading to learn more.
Given numbers are 142,630,605,762,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,630,605,762,310 is 21308343210.
Find LCM of 142,630,605,762,310 with Prime Factorization
2 | 142, 630, 605, 762, 310 |
3 | 71, 315, 605, 381, 155 |
5 | 71, 105, 605, 127, 155 |
71, 21, 121, 127, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 21 x 121 x 127 x 31 = 21308343210
Therefore, the lowest common multiple of 142,630,605,762,310 is 21308343210.
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.
142 x 630 x 605 x 762 x 310 = 12785005926000
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.
142 : 1, 2, 71, 142
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
605 : 1, 5, 11, 55, 121, 605
762 : 1, 2, 3, 6, 127, 254, 381, 762
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,630,605,762,310, is 1.
Now, the common factors can be found like this.
142:2x 71
630:2x 3x 3x 5x 7
605:5x 11x 11
762:2x 3x 127
310:2x 5x 31
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 12785005926000/(1x600)
LCM = 12785005926000/600
LCM = 21308343210
Thus, we can understand that the LCM of 142,630,605,762,310 is 21308343210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 142, 630, 605, 762, 310?
Answer: LCM of 142, 630, 605, 762, 310 is 21308343210.
2. How to calculate the LCM of 142, 630, 605, 762, 310?
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 142, 630, 605, 762, 310.
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}.