LCM of 225, 260, 493, 962, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 260, 493, 962, 821 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 225, 260, 493, 962, 821. So, keep reading to learn more.
Given numbers are 225,260,493,962,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,260,493,962,821 is 175217573700.
Find LCM of 225,260,493,962,821 with Prime Factorization
| 2 | 225, 260, 493, 962, 821 |
| 5 | 225, 130, 493, 481, 821 |
| 13 | 45, 26, 493, 481, 821 |
| 45, 2, 493, 37, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 45 x 2 x 493 x 37 x 821 = 175217573700
Therefore, the lowest common multiple of 225,260,493,962,821 is 175217573700.
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.
225 x 260 x 493 x 962 x 821 = 22778284581000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
493 : 1, 17, 29, 493
962 : 1, 2, 13, 26, 37, 74, 481, 962
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,260,493,962,821, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
260:2x 2x 5x 13
493:17x 29
962:2x 13x 37
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 22778284581000/(1x130)
LCM = 22778284581000/130
LCM = 175217573700
Thus, we can understand that the LCM of 225,260,493,962,821 is 175217573700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 225, 260, 493, 962, 821
1. What is the LCM of 225, 260, 493, 962, 821?
Answer: LCM of 225, 260, 493, 962, 821 is 175217573700.
2. How to calculate the LCM of 225, 260, 493, 962, 821?
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 225, 260, 493, 962, 821.
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}.