LCM of 173, 506, 924, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 506, 924, 996 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 173, 506, 924, 996. So, keep reading to learn more.
Given numbers are 173,506,924,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,506,924,996 is 305157468.
Find LCM of 173,506,924,996 with Prime Factorization
| 2 | 173, 506, 924, 996 |
| 2 | 173, 253, 462, 498 |
| 3 | 173, 253, 231, 249 |
| 11 | 173, 253, 77, 83 |
| 173, 23, 7, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 173 x 23 x 7 x 83 = 305157468
Therefore, the lowest common multiple of 173,506,924,996 is 305157468.
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.
173 x 506 x 924 x 996 = 80561571552
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.
173 : 1, 173
506 : 1, 2, 11, 22, 23, 46, 253, 506
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,506,924,996, is 1.
Now, the common factors can be found like this.
173:173
506:2x 11x 23
924:2x 2x 3x 7x 11
996:2x 2x 3x 83
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 11 = 264
Therefore, the value for common factors is 264.
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 = 80561571552/(1x264)
LCM = 80561571552/264
LCM = 305157468
Thus, we can understand that the LCM of 173,506,924,996 is 305157468.
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FAQs on LCM of 173, 506, 924, 996
1. What is the LCM of 173, 506, 924, 996?
Answer: LCM of 173, 506, 924, 996 is 305157468.
2. How to calculate the LCM of 173, 506, 924, 996?
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 173, 506, 924, 996.
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}.