LCM of 218, 699, 996, 924, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 699, 996, 924, 352 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 218, 699, 996, 924, 352. So, keep reading to learn more.
Given numbers are 218,699,996,924,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,699,996,924,352 is 15581973792.
Find LCM of 218,699,996,924,352 with Prime Factorization
| 2 | 218, 699, 996, 924, 352 |
| 2 | 109, 699, 498, 462, 176 |
| 3 | 109, 699, 249, 231, 88 |
| 11 | 109, 233, 83, 77, 88 |
| 109, 233, 83, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 109 x 233 x 83 x 7 x 8 = 15581973792
Therefore, the lowest common multiple of 218,699,996,924,352 is 15581973792.
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.
218 x 699 x 996 x 924 x 352 = 49363692973056
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.
218 : 1, 2, 109, 218
699 : 1, 3, 233, 699
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,699,996,924,352, is 1.
Now, the common factors can be found like this.
218:2x 109
699:3x 233
996:2x 2x 3x 83
924:2x 2x 3x 7x 11
352:2x 2x 2x 2x 2x 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 11 = 3168
Therefore, the value for common factors is 3168.
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 = 49363692973056/(1x3168)
LCM = 49363692973056/3168
LCM = 15581973792
Thus, we can understand that the LCM of 218,699,996,924,352 is 15581973792.
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FAQs on LCM of 218, 699, 996, 924, 352
1. What is the LCM of 218, 699, 996, 924, 352?
Answer: LCM of 218, 699, 996, 924, 352 is 15581973792.
2. How to calculate the LCM of 218, 699, 996, 924, 352?
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 218, 699, 996, 924, 352.
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}.