LCM of 158, 406, 716, 405, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 406, 716, 405, 780 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 158, 406, 716, 405, 780. So, keep reading to learn more.
Given numbers are 158,406,716,405,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,406,716,405,780 is 60455320380.
Find LCM of 158,406,716,405,780 with Prime Factorization
| 2 | 158, 406, 716, 405, 780 |
| 2 | 79, 203, 358, 405, 390 |
| 3 | 79, 203, 179, 405, 195 |
| 5 | 79, 203, 179, 135, 65 |
| 79, 203, 179, 27, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 203 x 179 x 27 x 13 = 60455320380
Therefore, the lowest common multiple of 158,406,716,405,780 is 60455320380.
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.
158 x 406 x 716 x 405 x 780 = 14509276891200
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.
158 : 1, 2, 79, 158
406 : 1, 2, 7, 14, 29, 58, 203, 406
716 : 1, 2, 4, 179, 358, 716
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,406,716,405,780, is 1.
Now, the common factors can be found like this.
158:2x 79
406:2x 7x 29
716:2x 2x 179
405:3x 3x 3x 3x 5
780:2x 2x 3x 5x 13
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 14509276891200/(1x240)
LCM = 14509276891200/240
LCM = 60455320380
Thus, we can understand that the LCM of 158,406,716,405,780 is 60455320380.
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FAQs on LCM of 158, 406, 716, 405, 780
1. What is the LCM of 158, 406, 716, 405, 780?
Answer: LCM of 158, 406, 716, 405, 780 is 60455320380.
2. How to calculate the LCM of 158, 406, 716, 405, 780?
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 158, 406, 716, 405, 780.
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}.