LCM of 705, 209, 171, 150, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 209, 171, 150, 429 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, 209, 171, 150, 429. So, keep reading to learn more.
Given numbers are 705,209,171,150,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,209,171,150,429 is 57464550.
Find LCM of 705,209,171,150,429 with Prime Factorization
| 3 | 705, 209, 171, 150, 429 |
| 5 | 235, 209, 57, 50, 143 |
| 11 | 47, 209, 57, 10, 143 |
| 19 | 47, 19, 57, 10, 13 |
| 47, 1, 3, 10, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 19 x 47 x 1 x 3 x 10 x 13 = 57464550
Therefore, the lowest common multiple of 705,209,171,150,429 is 57464550.
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 209 x 171 x 150 x 429 = 1621362278250
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
209 : 1, 11, 19, 209
171 : 1, 3, 9, 19, 57, 171
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,209,171,150,429, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
209:11x 19
171:3x 3x 19
150:2x 3x 5x 5
429:3x 11x 13
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 5x 11x 19 = 28215
Therefore, the value for common factors is 28215.
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 = 1621362278250/(1x28215)
LCM = 1621362278250/28215
LCM = 57464550
Thus, we can understand that the LCM of 705,209,171,150,429 is 57464550.
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FAQs on LCM of 705, 209, 171, 150, 429
1. What is the LCM of 705, 209, 171, 150, 429?
Answer: LCM of 705, 209, 171, 150, 429 is 57464550.
2. How to calculate the LCM of 705, 209, 171, 150, 429?
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, 209, 171, 150, 429.
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}.