LCM of 921, 725, 926, 614, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 725, 926, 614, 261 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 921, 725, 926, 614, 261. So, keep reading to learn more.
Given numbers are 921,725,926,614,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,725,926,614,261 is 1854940050.
Find LCM of 921,725,926,614,261 with Prime Factorization
| 2 | 921, 725, 926, 614, 261 |
| 3 | 921, 725, 463, 307, 261 |
| 29 | 307, 725, 463, 307, 87 |
| 307 | 307, 25, 463, 307, 3 |
| 1, 25, 463, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 307 x 1 x 25 x 463 x 1 x 3 = 1854940050
Therefore, the lowest common multiple of 921,725,926,614,261 is 1854940050.
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.
921 x 725 x 926 x 614 x 261 = 99087187590900
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.
921 : 1, 3, 307, 921
725 : 1, 5, 25, 29, 145, 725
926 : 1, 2, 463, 926
614 : 1, 2, 307, 614
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,725,926,614,261, is 1.
Now, the common factors can be found like this.
921:3x 307
725:5x 5x 29
926:2x 463
614:2x 307
261:3x 3x 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 3x 29x 307 = 53418
Therefore, the value for common factors is 53418.
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 = 99087187590900/(1x53418)
LCM = 99087187590900/53418
LCM = 1854940050
Thus, we can understand that the LCM of 921,725,926,614,261 is 1854940050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 921, 725, 926, 614, 261
1. What is the LCM of 921, 725, 926, 614, 261?
Answer: LCM of 921, 725, 926, 614, 261 is 1854940050.
2. How to calculate the LCM of 921, 725, 926, 614, 261?
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 921, 725, 926, 614, 261.
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}.