LCM of 825, 246, 457, 893, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 246, 457, 893, 921 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 825, 246, 457, 893, 921. So, keep reading to learn more.
Given numbers are 825,246,457,893,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,246,457,893,921 is 8475666023550.
Find LCM of 825,246,457,893,921 with Prime Factorization
| 3 | 825, 246, 457, 893, 921 |
| 275, 82, 457, 893, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 275 x 82 x 457 x 893 x 307 = 8475666023550
Therefore, the lowest common multiple of 825,246,457,893,921 is 8475666023550.
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.
825 x 246 x 457 x 893 x 921 = 76280994211950
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
246 : 1, 2, 3, 6, 41, 82, 123, 246
457 : 1, 457
893 : 1, 19, 47, 893
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,246,457,893,921, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
246:2x 3x 41
457:457
893:19x 47
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 76280994211950/(1x9)
LCM = 76280994211950/9
LCM = 8475666023550
Thus, we can understand that the LCM of 825,246,457,893,921 is 8475666023550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 246, 457, 893, 921
1. What is the LCM of 825, 246, 457, 893, 921?
Answer: LCM of 825, 246, 457, 893, 921 is 8475666023550.
2. How to calculate the LCM of 825, 246, 457, 893, 921?
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 825, 246, 457, 893, 921.
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}.