LCM of 616, 948, 878, 455, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 948, 878, 455, 816 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 616, 948, 878, 455, 816. So, keep reading to learn more.
Given numbers are 616,948,878,455,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,948,878,455,816 is 141639978480.
Find LCM of 616,948,878,455,816 with Prime Factorization
| 2 | 616, 948, 878, 455, 816 |
| 2 | 308, 474, 439, 455, 408 |
| 2 | 154, 237, 439, 455, 204 |
| 3 | 77, 237, 439, 455, 102 |
| 7 | 77, 79, 439, 455, 34 |
| 11, 79, 439, 65, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 79 x 439 x 65 x 34 = 141639978480
Therefore, the lowest common multiple of 616,948,878,455,816 is 141639978480.
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.
616 x 948 x 878 x 455 x 816 = 190364131077120
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
878 : 1, 2, 439, 878
455 : 1, 5, 7, 13, 35, 65, 91, 455
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,948,878,455,816, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
948:2x 2x 3x 79
878:2x 439
455:5x 7x 13
816:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 190364131077120/(1x1344)
LCM = 190364131077120/1344
LCM = 141639978480
Thus, we can understand that the LCM of 616,948,878,455,816 is 141639978480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 616, 948, 878, 455, 816
1. What is the LCM of 616, 948, 878, 455, 816?
Answer: LCM of 616, 948, 878, 455, 816 is 141639978480.
2. How to calculate the LCM of 616, 948, 878, 455, 816?
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 616, 948, 878, 455, 816.
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}.