LCM of 924, 605, 304, 981, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 605, 304, 981, 264 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 924, 605, 304, 981, 264. So, keep reading to learn more.
Given numbers are 924,605,304,981,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,605,304,981,264 is 1262978640.
Find LCM of 924,605,304,981,264 with Prime Factorization
| 2 | 924, 605, 304, 981, 264 |
| 2 | 462, 605, 152, 981, 132 |
| 2 | 231, 605, 76, 981, 66 |
| 3 | 231, 605, 38, 981, 33 |
| 11 | 77, 605, 38, 327, 11 |
| 7, 55, 38, 327, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 7 x 55 x 38 x 327 x 1 = 1262978640
Therefore, the lowest common multiple of 924,605,304,981,264 is 1262978640.
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.
924 x 605 x 304 x 981 x 264 = 44012279646720
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
605 : 1, 5, 11, 55, 121, 605
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
981 : 1, 3, 9, 109, 327, 981
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,605,304,981,264, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
605:5x 11x 11
304:2x 2x 2x 2x 19
981:3x 3x 109
264:2x 2x 2x 3x 11
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 3x 3x 11x 11 = 34848
Therefore, the value for common factors is 34848.
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 = 44012279646720/(1x34848)
LCM = 44012279646720/34848
LCM = 1262978640
Thus, we can understand that the LCM of 924,605,304,981,264 is 1262978640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 924, 605, 304, 981, 264
1. What is the LCM of 924, 605, 304, 981, 264?
Answer: LCM of 924, 605, 304, 981, 264 is 1262978640.
2. How to calculate the LCM of 924, 605, 304, 981, 264?
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 924, 605, 304, 981, 264.
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}.