LCM of 830, 968, 542, 498, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 968, 542, 498, 315 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, 968, 542, 498, 315. So, keep reading to learn more.
Given numbers are 830,968,542,498,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,968,542,498,315 is 6858565560.
Find LCM of 830,968,542,498,315 with Prime Factorization
| 2 | 830, 968, 542, 498, 315 |
| 3 | 415, 484, 271, 249, 315 |
| 5 | 415, 484, 271, 83, 105 |
| 83 | 83, 484, 271, 83, 21 |
| 1, 484, 271, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 1 x 484 x 271 x 1 x 21 = 6858565560
Therefore, the lowest common multiple of 830,968,542,498,315 is 6858565560.
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 968 x 542 x 498 x 315 = 68311312977600
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
542 : 1, 2, 271, 542
498 : 1, 2, 3, 6, 83, 166, 249, 498
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,968,542,498,315, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
968:2x 2x 2x 11x 11
542:2x 271
498:2x 3x 83
315:3x 3x 5x 7
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 83 = 9960
Therefore, the value for common factors is 9960.
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 = 68311312977600/(1x9960)
LCM = 68311312977600/9960
LCM = 6858565560
Thus, we can understand that the LCM of 830,968,542,498,315 is 6858565560.
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FAQs on LCM of 830, 968, 542, 498, 315
1. What is the LCM of 830, 968, 542, 498, 315?
Answer: LCM of 830, 968, 542, 498, 315 is 6858565560.
2. How to calculate the LCM of 830, 968, 542, 498, 315?
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, 968, 542, 498, 315.
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}.