LCM of 323, 847, 893, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 847, 893, 987 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 323, 847, 893, 987. So, keep reading to learn more.
Given numbers are 323,847,893,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,847,893,987 is 38574921.
Find LCM of 323,847,893,987 with Prime Factorization
| 7 | 323, 847, 893, 987 |
| 19 | 323, 121, 893, 141 |
| 47 | 17, 121, 47, 141 |
| 17, 121, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 47 x 17 x 121 x 1 x 3 = 38574921
Therefore, the lowest common multiple of 323,847,893,987 is 38574921.
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.
323 x 847 x 893 x 987 = 241131831171
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.
323 : 1, 17, 19, 323
847 : 1, 7, 11, 77, 121, 847
893 : 1, 19, 47, 893
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,847,893,987, is 1.
Now, the common factors can be found like this.
323:17x 19
847:7x 11x 11
893:19x 47
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19x 47 = 6251
Therefore, the value for common factors is 6251.
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 = 241131831171/(1x6251)
LCM = 241131831171/6251
LCM = 38574921
Thus, we can understand that the LCM of 323,847,893,987 is 38574921.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 847, 893, 987
1. What is the LCM of 323, 847, 893, 987?
Answer: LCM of 323, 847, 893, 987 is 38574921.
2. How to calculate the LCM of 323, 847, 893, 987?
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 323, 847, 893, 987.
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}.