LCM of 260, 225, 312, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 225, 312, 353 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 260, 225, 312, 353. So, keep reading to learn more.
Given numbers are 260,225,312,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,225,312,353 is 8260200.
Find LCM of 260,225,312,353 with Prime Factorization
| 2 | 260, 225, 312, 353 |
| 2 | 130, 225, 156, 353 |
| 3 | 65, 225, 78, 353 |
| 5 | 65, 75, 26, 353 |
| 13 | 13, 15, 26, 353 |
| 1, 15, 2, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 15 x 2 x 353 = 8260200
Therefore, the lowest common multiple of 260,225,312,353 is 8260200.
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.
260 x 225 x 312 x 353 = 6442956000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,225,312,353, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
225:3x 3x 5x 5
312:2x 2x 2x 3x 13
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 6442956000/(1x780)
LCM = 6442956000/780
LCM = 8260200
Thus, we can understand that the LCM of 260,225,312,353 is 8260200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 225, 312, 353
1. What is the LCM of 260, 225, 312, 353?
Answer: LCM of 260, 225, 312, 353 is 8260200.
2. How to calculate the LCM of 260, 225, 312, 353?
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 260, 225, 312, 353.
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}.