LCM of 265, 177, 314, 204, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 177, 314, 204, 383 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, 177, 314, 204, 383. So, keep reading to learn more.
Given numbers are 265,177,314,204,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,177,314,204,383 is 191790229740.
Find LCM of 265,177,314,204,383 with Prime Factorization
| 2 | 265, 177, 314, 204, 383 |
| 3 | 265, 177, 157, 102, 383 |
| 265, 59, 157, 34, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 265 x 59 x 157 x 34 x 383 = 191790229740
Therefore, the lowest common multiple of 265,177,314,204,383 is 191790229740.
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 177 x 314 x 204 x 383 = 1150741378440
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
177 : 1, 3, 59, 177
314 : 1, 2, 157, 314
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,177,314,204,383, is 1.
Now, the common factors can be found like this.
265:5x 53
177:3x 59
314:2x 157
204:2x 2x 3x 17
383:383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 1150741378440/(1x6)
LCM = 1150741378440/6
LCM = 191790229740
Thus, we can understand that the LCM of 265,177,314,204,383 is 191790229740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 265, 177, 314, 204, 383
1. What is the LCM of 265, 177, 314, 204, 383?
Answer: LCM of 265, 177, 314, 204, 383 is 191790229740.
2. How to calculate the LCM of 265, 177, 314, 204, 383?
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, 177, 314, 204, 383.
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}.