LCM of 822, 766, 153, 514, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 766, 153, 514, 684 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 822, 766, 153, 514, 684. So, keep reading to learn more.
Given numbers are 822,766,153,514,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,766,153,514,684 is 156804126516.
Find LCM of 822,766,153,514,684 with Prime Factorization
| 2 | 822, 766, 153, 514, 684 |
| 3 | 411, 383, 153, 257, 342 |
| 3 | 137, 383, 51, 257, 114 |
| 137, 383, 17, 257, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 137 x 383 x 17 x 257 x 38 = 156804126516
Therefore, the lowest common multiple of 822,766,153,514,684 is 156804126516.
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.
822 x 766 x 153 x 514 x 684 = 33869691327456
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
766 : 1, 2, 383, 766
153 : 1, 3, 9, 17, 51, 153
514 : 1, 2, 257, 514
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,766,153,514,684, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
766:2x 383
153:3x 3x 17
514:2x 257
684:2x 2x 3x 3x 19
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 33869691327456/(1x216)
LCM = 33869691327456/216
LCM = 156804126516
Thus, we can understand that the LCM of 822,766,153,514,684 is 156804126516.
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FAQs on LCM of 822, 766, 153, 514, 684
1. What is the LCM of 822, 766, 153, 514, 684?
Answer: LCM of 822, 766, 153, 514, 684 is 156804126516.
2. How to calculate the LCM of 822, 766, 153, 514, 684?
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 822, 766, 153, 514, 684.
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}.