LCM of 830, 134, 314, 605, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 134, 314, 605, 578 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 830, 134, 314, 605, 578. So, keep reading to learn more.
Given numbers are 830,134,314,605,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,134,314,605,578 is 305306296130.
Find LCM of 830,134,314,605,578 with Prime Factorization
| 2 | 830, 134, 314, 605, 578 |
| 5 | 415, 67, 157, 605, 289 |
| 83, 67, 157, 121, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 83 x 67 x 157 x 121 x 289 = 305306296130
Therefore, the lowest common multiple of 830,134,314,605,578 is 305306296130.
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.
830 x 134 x 314 x 605 x 578 = 12212251845200
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
134 : 1, 2, 67, 134
314 : 1, 2, 157, 314
605 : 1, 5, 11, 55, 121, 605
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,134,314,605,578, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
134:2x 67
314:2x 157
605:5x 11x 11
578:2x 17x 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 5 = 40
Therefore, the value for common factors is 40.
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 = 12212251845200/(1x40)
LCM = 12212251845200/40
LCM = 305306296130
Thus, we can understand that the LCM of 830,134,314,605,578 is 305306296130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 830, 134, 314, 605, 578
1. What is the LCM of 830, 134, 314, 605, 578?
Answer: LCM of 830, 134, 314, 605, 578 is 305306296130.
2. How to calculate the LCM of 830, 134, 314, 605, 578?
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 830, 134, 314, 605, 578.
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}.