LCM of 737, 408, 506, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 408, 506, 667 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 737, 408, 506, 667. So, keep reading to learn more.
Given numbers are 737,408,506,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,408,506,667 is 200564232.
Find LCM of 737,408,506,667 with Prime Factorization
| 2 | 737, 408, 506, 667 |
| 11 | 737, 204, 253, 667 |
| 23 | 67, 204, 23, 667 |
| 67, 204, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 67 x 204 x 1 x 29 = 200564232
Therefore, the lowest common multiple of 737,408,506,667 is 200564232.
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.
737 x 408 x 506 x 667 = 101485501392
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.
737 : 1, 11, 67, 737
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
506 : 1, 2, 11, 22, 23, 46, 253, 506
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,408,506,667, is 1.
Now, the common factors can be found like this.
737:11x 67
408:2x 2x 2x 3x 17
506:2x 11x 23
667:23x 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 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 101485501392/(1x506)
LCM = 101485501392/506
LCM = 200564232
Thus, we can understand that the LCM of 737,408,506,667 is 200564232.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 737, 408, 506, 667
1. What is the LCM of 737, 408, 506, 667?
Answer: LCM of 737, 408, 506, 667 is 200564232.
2. How to calculate the LCM of 737, 408, 506, 667?
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 737, 408, 506, 667.
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}.