LCM of 822, 918, 476, 957, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 918, 476, 957, 658 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, 918, 476, 957, 658. So, keep reading to learn more.
Given numbers are 822,918,476,957,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,918,476,957,658 is 26398534932.
Find LCM of 822,918,476,957,658 with Prime Factorization
| 2 | 822, 918, 476, 957, 658 |
| 3 | 411, 459, 238, 957, 329 |
| 7 | 137, 153, 238, 319, 329 |
| 17 | 137, 153, 34, 319, 47 |
| 137, 9, 2, 319, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 137 x 9 x 2 x 319 x 47 = 26398534932
Therefore, the lowest common multiple of 822,918,476,957,658 is 26398534932.
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 918 x 476 x 957 x 658 = 226182647297376
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
957 : 1, 3, 11, 29, 33, 87, 319, 957
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,918,476,957,658, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
918:2x 3x 3x 3x 17
476:2x 2x 7x 17
957:3x 11x 29
658:2x 7x 47
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 7x 17 = 8568
Therefore, the value for common factors is 8568.
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 = 226182647297376/(1x8568)
LCM = 226182647297376/8568
LCM = 26398534932
Thus, we can understand that the LCM of 822,918,476,957,658 is 26398534932.
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FAQs on LCM of 822, 918, 476, 957, 658
1. What is the LCM of 822, 918, 476, 957, 658?
Answer: LCM of 822, 918, 476, 957, 658 is 26398534932.
2. How to calculate the LCM of 822, 918, 476, 957, 658?
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, 918, 476, 957, 658.
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}.