LCM of 251, 267, 205, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 267, 205, 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 251, 267, 205, 738. So, keep reading to learn more.
Given numbers are 251,267,205,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,267,205,738 is 82430910.
Find LCM of 251,267,205,738 with Prime Factorization
| 3 | 251, 267, 205, 738 |
| 41 | 251, 89, 205, 246 |
| 251, 89, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 251 x 89 x 5 x 6 = 82430910
Therefore, the lowest common multiple of 251,267,205,738 is 82430910.
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.
251 x 267 x 205 x 738 = 10139001930
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.
251 : 1, 251
267 : 1, 3, 89, 267
205 : 1, 5, 41, 205
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 251,267,205,738, is 1.
Now, the common factors can be found like this.
251:251
267:3x 89
205:5x 41
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.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 10139001930/(1x123)
LCM = 10139001930/123
LCM = 82430910
Thus, we can understand that the LCM of 251,267,205,738 is 82430910.
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FAQs on LCM of 251, 267, 205, 738
1. What is the LCM of 251, 267, 205, 738?
Answer: LCM of 251, 267, 205, 738 is 82430910.
2. How to calculate the LCM of 251, 267, 205, 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 251, 267, 205, 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}.