LCM of 484, 272, 952, 680, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 272, 952, 680, 945 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 484, 272, 952, 680, 945. So, keep reading to learn more.
Given numbers are 484,272,952,680,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,272,952,680,945 is 31101840.
Find LCM of 484,272,952,680,945 with Prime Factorization
| 2 | 484, 272, 952, 680, 945 |
| 2 | 242, 136, 476, 340, 945 |
| 2 | 121, 68, 238, 170, 945 |
| 5 | 121, 34, 119, 85, 945 |
| 7 | 121, 34, 119, 17, 189 |
| 17 | 121, 34, 17, 17, 27 |
| 121, 2, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 17 x 121 x 2 x 1 x 1 x 27 = 31101840
Therefore, the lowest common multiple of 484,272,952,680,945 is 31101840.
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.
484 x 272 x 952 x 680 x 945 = 80536348569600
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,272,952,680,945, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
272:2x 2x 2x 2x 17
952:2x 2x 2x 7x 17
680:2x 2x 2x 5x 17
945:3x 3x 3x 5x 7
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 2x 2x 5x 7x 17x 17 = 2589440
Therefore, the value for common factors is 2589440.
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 = 80536348569600/(1x2589440)
LCM = 80536348569600/2589440
LCM = 31101840
Thus, we can understand that the LCM of 484,272,952,680,945 is 31101840.
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FAQs on LCM of 484, 272, 952, 680, 945
1. What is the LCM of 484, 272, 952, 680, 945?
Answer: LCM of 484, 272, 952, 680, 945 is 31101840.
2. How to calculate the LCM of 484, 272, 952, 680, 945?
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 484, 272, 952, 680, 945.
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}.