LCM of 921, 494, 209, 328, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 494, 209, 328, 468 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 921, 494, 209, 328, 468. So, keep reading to learn more.
Given numbers are 921,494,209,328,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,494,209,328,468 is 2462319288.
Find LCM of 921,494,209,328,468 with Prime Factorization
| 2 | 921, 494, 209, 328, 468 |
| 2 | 921, 247, 209, 164, 234 |
| 3 | 921, 247, 209, 82, 117 |
| 13 | 307, 247, 209, 82, 39 |
| 19 | 307, 19, 209, 82, 3 |
| 307, 1, 11, 82, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 307 x 1 x 11 x 82 x 3 = 2462319288
Therefore, the lowest common multiple of 921,494,209,328,468 is 2462319288.
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.
921 x 494 x 209 x 328 x 468 = 14596628739264
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.
921 : 1, 3, 307, 921
494 : 1, 2, 13, 19, 26, 38, 247, 494
209 : 1, 11, 19, 209
328 : 1, 2, 4, 8, 41, 82, 164, 328
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,494,209,328,468, is 1.
Now, the common factors can be found like this.
921:3x 307
494:2x 13x 19
209:11x 19
328:2x 2x 2x 41
468:2x 2x 3x 3x 13
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 13x 19 = 5928
Therefore, the value for common factors is 5928.
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 = 14596628739264/(1x5928)
LCM = 14596628739264/5928
LCM = 2462319288
Thus, we can understand that the LCM of 921,494,209,328,468 is 2462319288.
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FAQs on LCM of 921, 494, 209, 328, 468
1. What is the LCM of 921, 494, 209, 328, 468?
Answer: LCM of 921, 494, 209, 328, 468 is 2462319288.
2. How to calculate the LCM of 921, 494, 209, 328, 468?
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 921, 494, 209, 328, 468.
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}.