LCM of 428, 710, 219, 106, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 710, 219, 106, 510 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 428, 710, 219, 106, 510. So, keep reading to learn more.
Given numbers are 428,710,219,106,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,710,219,106,510 is 29980648860.
Find LCM of 428,710,219,106,510 with Prime Factorization
| 2 | 428, 710, 219, 106, 510 |
| 3 | 214, 355, 219, 53, 255 |
| 5 | 214, 355, 73, 53, 85 |
| 214, 71, 73, 53, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 214 x 71 x 73 x 53 x 17 = 29980648860
Therefore, the lowest common multiple of 428,710,219,106,510 is 29980648860.
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.
428 x 710 x 219 x 106 x 510 = 3597677863200
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.
428 : 1, 2, 4, 107, 214, 428
710 : 1, 2, 5, 10, 71, 142, 355, 710
219 : 1, 3, 73, 219
106 : 1, 2, 53, 106
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,710,219,106,510, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
710:2x 5x 71
219:3x 73
106:2x 53
510:2x 3x 5x 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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 3597677863200/(1x120)
LCM = 3597677863200/120
LCM = 29980648860
Thus, we can understand that the LCM of 428,710,219,106,510 is 29980648860.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 428, 710, 219, 106, 510
1. What is the LCM of 428, 710, 219, 106, 510?
Answer: LCM of 428, 710, 219, 106, 510 is 29980648860.
2. How to calculate the LCM of 428, 710, 219, 106, 510?
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 428, 710, 219, 106, 510.
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}.