LCM of 267, 738, 473, 989, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 738, 473, 989, 801 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 267, 738, 473, 989, 801. So, keep reading to learn more.
Given numbers are 267,738,473,989,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,738,473,989,801 is 714554478.
Find LCM of 267,738,473,989,801 with Prime Factorization
| 3 | 267, 738, 473, 989, 801 |
| 3 | 89, 246, 473, 989, 267 |
| 43 | 89, 82, 473, 989, 89 |
| 89 | 89, 82, 11, 23, 89 |
| 1, 82, 11, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 89 x 1 x 82 x 11 x 23 x 1 = 714554478
Therefore, the lowest common multiple of 267,738,473,989,801 is 714554478.
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.
267 x 738 x 473 x 989 x 801 = 73834199657262
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.
267 : 1, 3, 89, 267
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
473 : 1, 11, 43, 473
989 : 1, 23, 43, 989
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,738,473,989,801, is 1.
Now, the common factors can be found like this.
267:3x 89
738:2x 3x 3x 41
473:11x 43
989:23x 43
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 43x 89 = 103329
Therefore, the value for common factors is 103329.
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 = 73834199657262/(1x103329)
LCM = 73834199657262/103329
LCM = 714554478
Thus, we can understand that the LCM of 267,738,473,989,801 is 714554478.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 738, 473, 989, 801
1. What is the LCM of 267, 738, 473, 989, 801?
Answer: LCM of 267, 738, 473, 989, 801 is 714554478.
2. How to calculate the LCM of 267, 738, 473, 989, 801?
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 267, 738, 473, 989, 801.
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}.