LCM of 923, 188, 213, 578, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 188, 213, 578, 884 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 923, 188, 213, 578, 884. So, keep reading to learn more.
Given numbers are 923,188,213,578,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,188,213,578,884 is 150445308.
Find LCM of 923,188,213,578,884 with Prime Factorization
| 2 | 923, 188, 213, 578, 884 |
| 2 | 923, 94, 213, 289, 442 |
| 13 | 923, 47, 213, 289, 221 |
| 17 | 71, 47, 213, 289, 17 |
| 71 | 71, 47, 213, 1, 17 |
| 1, 47, 3, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 71 x 1 x 47 x 3 x 1 x 17 = 150445308
Therefore, the lowest common multiple of 923,188,213,578,884 is 150445308.
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.
923 x 188 x 213 x 578 x 884 = 18885098622624
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.
923 : 1, 13, 71, 923
188 : 1, 2, 4, 47, 94, 188
213 : 1, 3, 71, 213
578 : 1, 2, 17, 34, 289, 578
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,188,213,578,884, is 1.
Now, the common factors can be found like this.
923:13x 71
188:2x 2x 47
213:3x 71
578:2x 17x 17
884:2x 2x 13x 17
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 13x 17x 71 = 125528
Therefore, the value for common factors is 125528.
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 = 18885098622624/(1x125528)
LCM = 18885098622624/125528
LCM = 150445308
Thus, we can understand that the LCM of 923,188,213,578,884 is 150445308.
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FAQs on LCM of 923, 188, 213, 578, 884
1. What is the LCM of 923, 188, 213, 578, 884?
Answer: LCM of 923, 188, 213, 578, 884 is 150445308.
2. How to calculate the LCM of 923, 188, 213, 578, 884?
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 923, 188, 213, 578, 884.
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}.