LCM of 622, 545, 715, 142, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 545, 715, 142, 417 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 622, 545, 715, 142, 417. So, keep reading to learn more.
Given numbers are 622,545,715,142,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,545,715,142,417 is 1435216200990.
Find LCM of 622,545,715,142,417 with Prime Factorization
| 2 | 622, 545, 715, 142, 417 |
| 5 | 311, 545, 715, 71, 417 |
| 311, 109, 143, 71, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 311 x 109 x 143 x 71 x 417 = 1435216200990
Therefore, the lowest common multiple of 622,545,715,142,417 is 1435216200990.
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.
622 x 545 x 715 x 142 x 417 = 14352162009900
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.
622 : 1, 2, 311, 622
545 : 1, 5, 109, 545
715 : 1, 5, 11, 13, 55, 65, 143, 715
142 : 1, 2, 71, 142
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,545,715,142,417, is 1.
Now, the common factors can be found like this.
622:2x 311
545:5x 109
715:5x 11x 13
142:2x 71
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 14352162009900/(1x10)
LCM = 14352162009900/10
LCM = 1435216200990
Thus, we can understand that the LCM of 622,545,715,142,417 is 1435216200990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 545, 715, 142, 417
1. What is the LCM of 622, 545, 715, 142, 417?
Answer: LCM of 622, 545, 715, 142, 417 is 1435216200990.
2. How to calculate the LCM of 622, 545, 715, 142, 417?
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 622, 545, 715, 142, 417.
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}.