LCM of 606, 174, 288, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 174, 288, 354 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 606, 174, 288, 354. So, keep reading to learn more.
Given numbers are 606,174,288,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,174,288,354 is 49769568.
Find LCM of 606,174,288,354 with Prime Factorization
| 2 | 606, 174, 288, 354 |
| 3 | 303, 87, 144, 177 |
| 101, 29, 48, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 29 x 48 x 59 = 49769568
Therefore, the lowest common multiple of 606,174,288,354 is 49769568.
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.
606 x 174 x 288 x 354 = 10750226688
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
174 : 1, 2, 3, 6, 29, 58, 87, 174
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
354 : 1, 2, 3, 6, 59, 118, 177, 354
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,174,288,354, is 6.
Now, the common factors can be found like this.
606:2x 3x 101
174:2x 3x 29
288:2x 2x 2x 2x 2x 3x 3
354:2x 3x 59
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 3 = 36
Therefore, the value for common factors is 36.
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 = 10750226688/(6x36)
LCM = 10750226688/216
LCM = 49769568
Thus, we can understand that the LCM of 606,174,288,354 is 49769568.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 174, 288, 354
1. What is the LCM of 606, 174, 288, 354?
Answer: LCM of 606, 174, 288, 354 is 49769568.
2. How to calculate the LCM of 606, 174, 288, 354?
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 606, 174, 288, 354.
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}.