LCM of 705, 447, 147, 149, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 447, 147, 149, 609 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 705, 447, 147, 149, 609. So, keep reading to learn more.
Given numbers are 705,447,147,149,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,447,147,149,609 is 149268945.
Find LCM of 705,447,147,149,609 with Prime Factorization
| 3 | 705, 447, 147, 149, 609 |
| 7 | 235, 149, 49, 149, 203 |
| 149 | 235, 149, 7, 149, 29 |
| 235, 1, 7, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 149 x 235 x 1 x 7 x 1 x 29 = 149268945
Therefore, the lowest common multiple of 705,447,147,149,609 is 149268945.
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.
705 x 447 x 147 x 149 x 609 = 4203562760145
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
447 : 1, 3, 149, 447
147 : 1, 3, 7, 21, 49, 147
149 : 1, 149
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,447,147,149,609, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
447:3x 149
147:3x 7x 7
149:149
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 149 = 28161
Therefore, the value for common factors is 28161.
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 = 4203562760145/(1x28161)
LCM = 4203562760145/28161
LCM = 149268945
Thus, we can understand that the LCM of 705,447,147,149,609 is 149268945.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 447, 147, 149, 609
1. What is the LCM of 705, 447, 147, 149, 609?
Answer: LCM of 705, 447, 147, 149, 609 is 149268945.
2. How to calculate the LCM of 705, 447, 147, 149, 609?
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 705, 447, 147, 149, 609.
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}.