LCM of 552, 654, 923, 252, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 654, 923, 252, 403 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 552, 654, 923, 252, 403. So, keep reading to learn more.
Given numbers are 552,654,923,252,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,654,923,252,403 is 36153326664.
Find LCM of 552,654,923,252,403 with Prime Factorization
| 2 | 552, 654, 923, 252, 403 |
| 2 | 276, 327, 923, 126, 403 |
| 3 | 138, 327, 923, 63, 403 |
| 13 | 46, 109, 923, 21, 403 |
| 46, 109, 71, 21, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 46 x 109 x 71 x 21 x 31 = 36153326664
Therefore, the lowest common multiple of 552,654,923,252,403 is 36153326664.
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.
552 x 654 x 923 x 252 x 403 = 33839513757504
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
654 : 1, 2, 3, 6, 109, 218, 327, 654
923 : 1, 13, 71, 923
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,654,923,252,403, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
654:2x 3x 109
923:13x 71
252:2x 2x 3x 3x 7
403:13x 31
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 33839513757504/(1x936)
LCM = 33839513757504/936
LCM = 36153326664
Thus, we can understand that the LCM of 552,654,923,252,403 is 36153326664.
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FAQs on LCM of 552, 654, 923, 252, 403
1. What is the LCM of 552, 654, 923, 252, 403?
Answer: LCM of 552, 654, 923, 252, 403 is 36153326664.
2. How to calculate the LCM of 552, 654, 923, 252, 403?
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 552, 654, 923, 252, 403.
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}.