Find the LCM of 157, 305, 471, 658, 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 157, 305, 471, 658, 510. So, keep reading to learn more.
Given numbers are 157,305,471,658,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,305,471,658,510 is 1606924830.
Find LCM of 157,305,471,658,510 with Prime Factorization
2 | 157, 305, 471, 658, 510 |
3 | 157, 305, 471, 329, 255 |
5 | 157, 305, 157, 329, 85 |
157 | 157, 61, 157, 329, 17 |
1, 61, 1, 329, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 1 x 61 x 1 x 329 x 17 = 1606924830
Therefore, the lowest common multiple of 157,305,471,658,510 is 1606924830.
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.
157 x 305 x 471 x 658 x 510 = 7568615949300
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.
157 : 1, 157
305 : 1, 5, 61, 305
471 : 1, 3, 157, 471
658 : 1, 2, 7, 14, 47, 94, 329, 658
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 157,305,471,658,510, is 1.
Now, the common factors can be found like this.
157:157
305:5x 61
471:3x 157
658:2x 7x 47
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 3x 5x 157 = 4710
Therefore, the value for common factors is 4710.
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 = 7568615949300/(1x4710)
LCM = 7568615949300/4710
LCM = 1606924830
Thus, we can understand that the LCM of 157,305,471,658,510 is 1606924830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 305, 471, 658, 510?
Answer: LCM of 157, 305, 471, 658, 510 is 1606924830.
2. How to calculate the LCM of 157, 305, 471, 658, 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 157, 305, 471, 658, 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}.