LCM of 418, 154, 652, 622, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 154, 652, 622, 712 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 418, 154, 652, 622, 712. So, keep reading to learn more.
Given numbers are 418,154,652,622,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,154,652,622,712 is 52804667608.
Find LCM of 418,154,652,622,712 with Prime Factorization
| 2 | 418, 154, 652, 622, 712 |
| 2 | 209, 77, 326, 311, 356 |
| 11 | 209, 77, 163, 311, 178 |
| 19, 7, 163, 311, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 7 x 163 x 311 x 178 = 52804667608
Therefore, the lowest common multiple of 418,154,652,622,712 is 52804667608.
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.
418 x 154 x 652 x 622 x 712 = 18587242998016
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
154 : 1, 2, 7, 11, 14, 22, 77, 154
652 : 1, 2, 4, 163, 326, 652
622 : 1, 2, 311, 622
712 : 1, 2, 4, 8, 89, 178, 356, 712
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,154,652,622,712, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
154:2x 7x 11
652:2x 2x 163
622:2x 311
712:2x 2x 2x 89
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 18587242998016/(2x176)
LCM = 18587242998016/352
LCM = 52804667608
Thus, we can understand that the LCM of 418,154,652,622,712 is 52804667608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 154, 652, 622, 712
1. What is the LCM of 418, 154, 652, 622, 712?
Answer: LCM of 418, 154, 652, 622, 712 is 52804667608.
2. How to calculate the LCM of 418, 154, 652, 622, 712?
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 418, 154, 652, 622, 712.
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}.