LCM of 621, 667, 986, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 667, 986, 738 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 621, 667, 986, 738. So, keep reading to learn more.
Given numbers are 621,667,986,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,667,986,738 is 25104546.
Find LCM of 621,667,986,738 with Prime Factorization
| 2 | 621, 667, 986, 738 |
| 3 | 621, 667, 493, 369 |
| 3 | 207, 667, 493, 123 |
| 23 | 69, 667, 493, 41 |
| 29 | 3, 29, 493, 41 |
| 3, 1, 17, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 29 x 3 x 1 x 17 x 41 = 25104546
Therefore, the lowest common multiple of 621,667,986,738 is 25104546.
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.
621 x 667 x 986 x 738 = 301405179276
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
667 : 1, 23, 29, 667
986 : 1, 2, 17, 29, 34, 58, 493, 986
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,667,986,738, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
667:23x 29
986:2x 17x 29
738:2x 3x 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 3x 3x 23x 29 = 12006
Therefore, the value for common factors is 12006.
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 = 301405179276/(1x12006)
LCM = 301405179276/12006
LCM = 25104546
Thus, we can understand that the LCM of 621,667,986,738 is 25104546.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 621, 667, 986, 738
1. What is the LCM of 621, 667, 986, 738?
Answer: LCM of 621, 667, 986, 738 is 25104546.
2. How to calculate the LCM of 621, 667, 986, 738?
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 621, 667, 986, 738.
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}.