LCM of 345, 253, 229, 176, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 253, 229, 176, 179 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 345, 253, 229, 176, 179. So, keep reading to learn more.
Given numbers are 345,253,229,176,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,253,229,176,179 is 2488973520.
Find LCM of 345,253,229,176,179 with Prime Factorization
| 11 | 345, 253, 229, 176, 179 |
| 23 | 345, 23, 229, 16, 179 |
| 15, 1, 229, 16, 179 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 15 x 1 x 229 x 16 x 179 = 2488973520
Therefore, the lowest common multiple of 345,253,229,176,179 is 2488973520.
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.
345 x 253 x 229 x 176 x 179 = 629710300560
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
253 : 1, 11, 23, 253
229 : 1, 229
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,253,229,176,179, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
253:11x 23
229:229
176:2x 2x 2x 2x 11
179:179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 629710300560/(1x253)
LCM = 629710300560/253
LCM = 2488973520
Thus, we can understand that the LCM of 345,253,229,176,179 is 2488973520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 253, 229, 176, 179
1. What is the LCM of 345, 253, 229, 176, 179?
Answer: LCM of 345, 253, 229, 176, 179 is 2488973520.
2. How to calculate the LCM of 345, 253, 229, 176, 179?
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 345, 253, 229, 176, 179.
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}.