LCM of 261, 953, 261, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 953, 261, 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 261, 953, 261, 801. So, keep reading to learn more.
Given numbers are 261,953,261,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,953,261,801 is 22137237.
Find LCM of 261,953,261,801 with Prime Factorization
| 3 | 261, 953, 261, 801 |
| 3 | 87, 953, 87, 267 |
| 29 | 29, 953, 29, 89 |
| 1, 953, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 1 x 953 x 1 x 89 = 22137237
Therefore, the lowest common multiple of 261,953,261,801 is 22137237.
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.
261 x 953 x 261 x 801 = 52000369713
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.
261 : 1, 3, 9, 29, 87, 261
953 : 1, 953
261 : 1, 3, 9, 29, 87, 261
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 261,953,261,801, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
953:953
261:3x 3x 29
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 3x 29 = 2349
Therefore, the value for common factors is 2349.
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 = 52000369713/(1x2349)
LCM = 52000369713/2349
LCM = 22137237
Thus, we can understand that the LCM of 261,953,261,801 is 22137237.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 261, 953, 261, 801
1. What is the LCM of 261, 953, 261, 801?
Answer: LCM of 261, 953, 261, 801 is 22137237.
2. How to calculate the LCM of 261, 953, 261, 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 261, 953, 261, 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}.