LCM of 622, 646, 754, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 646, 754, 377 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, 646, 754, 377. So, keep reading to learn more.
Given numbers are 622,646,754,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,646,754,377 is 75741562.
Find LCM of 622,646,754,377 with Prime Factorization
| 2 | 622, 646, 754, 377 |
| 13 | 311, 323, 377, 377 |
| 29 | 311, 323, 29, 29 |
| 311, 323, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 311 x 323 x 1 x 1 = 75741562
Therefore, the lowest common multiple of 622,646,754,377 is 75741562.
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 646 x 754 x 377 = 114218275496
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
754 : 1, 2, 13, 26, 29, 58, 377, 754
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,646,754,377, is 1.
Now, the common factors can be found like this.
622:2x 311
646:2x 17x 19
754:2x 13x 29
377:13x 29
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 13x 29 = 1508
Therefore, the value for common factors is 1508.
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 = 114218275496/(1x1508)
LCM = 114218275496/1508
LCM = 75741562
Thus, we can understand that the LCM of 622,646,754,377 is 75741562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 646, 754, 377
1. What is the LCM of 622, 646, 754, 377?
Answer: LCM of 622, 646, 754, 377 is 75741562.
2. How to calculate the LCM of 622, 646, 754, 377?
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, 646, 754, 377.
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}.