LCM of 564, 702, 417, 923, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 702, 417, 923, 246 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 564, 702, 417, 923, 246. So, keep reading to learn more.
Given numbers are 564,702,417,923,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,702,417,923,246 is 26700658452.
Find LCM of 564,702,417,923,246 with Prime Factorization
| 2 | 564, 702, 417, 923, 246 |
| 3 | 282, 351, 417, 923, 123 |
| 13 | 94, 117, 139, 923, 41 |
| 94, 9, 139, 71, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 94 x 9 x 139 x 71 x 41 = 26700658452
Therefore, the lowest common multiple of 564,702,417,923,246 is 26700658452.
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.
564 x 702 x 417 x 923 x 246 = 37487724466608
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
417 : 1, 3, 139, 417
923 : 1, 13, 71, 923
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,702,417,923,246, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
702:2x 3x 3x 3x 13
417:3x 139
923:13x 71
246:2x 3x 41
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 3x 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 37487724466608/(1x1404)
LCM = 37487724466608/1404
LCM = 26700658452
Thus, we can understand that the LCM of 564,702,417,923,246 is 26700658452.
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FAQs on LCM of 564, 702, 417, 923, 246
1. What is the LCM of 564, 702, 417, 923, 246?
Answer: LCM of 564, 702, 417, 923, 246 is 26700658452.
2. How to calculate the LCM of 564, 702, 417, 923, 246?
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 564, 702, 417, 923, 246.
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}.