LCM of 172, 957, 739, 204, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 957, 739, 204, 924 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 172, 957, 739, 204, 924. So, keep reading to learn more.
Given numbers are 172,957,739,204,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,957,739,204,924 is 14475440364.
Find LCM of 172,957,739,204,924 with Prime Factorization
| 2 | 172, 957, 739, 204, 924 |
| 2 | 86, 957, 739, 102, 462 |
| 3 | 43, 957, 739, 51, 231 |
| 11 | 43, 319, 739, 17, 77 |
| 43, 29, 739, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 43 x 29 x 739 x 17 x 7 = 14475440364
Therefore, the lowest common multiple of 172,957,739,204,924 is 14475440364.
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.
172 x 957 x 739 x 204 x 924 = 22929097536576
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.
172 : 1, 2, 4, 43, 86, 172
957 : 1, 3, 11, 29, 33, 87, 319, 957
739 : 1, 739
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,957,739,204,924, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
957:3x 11x 29
739:739
204:2x 2x 3x 17
924:2x 2x 3x 7x 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 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 22929097536576/(1x1584)
LCM = 22929097536576/1584
LCM = 14475440364
Thus, we can understand that the LCM of 172,957,739,204,924 is 14475440364.
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FAQs on LCM of 172, 957, 739, 204, 924
1. What is the LCM of 172, 957, 739, 204, 924?
Answer: LCM of 172, 957, 739, 204, 924 is 14475440364.
2. How to calculate the LCM of 172, 957, 739, 204, 924?
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 172, 957, 739, 204, 924.
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}.