LCM of 265, 314, 225, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 314, 225, 360 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 265, 314, 225, 360. So, keep reading to learn more.
Given numbers are 265,314,225,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,314,225,360 is 14977800.
Find LCM of 265,314,225,360 with Prime Factorization
| 2 | 265, 314, 225, 360 |
| 3 | 265, 157, 225, 180 |
| 3 | 265, 157, 75, 60 |
| 5 | 265, 157, 25, 20 |
| 53, 157, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 53 x 157 x 5 x 4 = 14977800
Therefore, the lowest common multiple of 265,314,225,360 is 14977800.
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.
265 x 314 x 225 x 360 = 6740010000
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.
265 : 1, 5, 53, 265
314 : 1, 2, 157, 314
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,314,225,360, is 1.
Now, the common factors can be found like this.
265:5x 53
314:2x 157
225:3x 3x 5x 5
360:2x 2x 2x 3x 3x 5
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 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 6740010000/(1x450)
LCM = 6740010000/450
LCM = 14977800
Thus, we can understand that the LCM of 265,314,225,360 is 14977800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 265, 314, 225, 360
1. What is the LCM of 265, 314, 225, 360?
Answer: LCM of 265, 314, 225, 360 is 14977800.
2. How to calculate the LCM of 265, 314, 225, 360?
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 265, 314, 225, 360.
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}.