LCM of 172, 429, 695, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 429, 695, 338 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 172, 429, 695, 338. So, keep reading to learn more.
Given numbers are 172,429,695,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,429,695,338 is 666674580.
Find LCM of 172,429,695,338 with Prime Factorization
| 2 | 172, 429, 695, 338 |
| 13 | 86, 429, 695, 169 |
| 86, 33, 695, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 86 x 33 x 695 x 13 = 666674580
Therefore, the lowest common multiple of 172,429,695,338 is 666674580.
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.
172 x 429 x 695 x 338 = 17333539080
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.
172 : 1, 2, 4, 43, 86, 172
429 : 1, 3, 11, 13, 33, 39, 143, 429
695 : 1, 5, 139, 695
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,429,695,338, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
429:3x 11x 13
695:5x 139
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 17333539080/(1x26)
LCM = 17333539080/26
LCM = 666674580
Thus, we can understand that the LCM of 172,429,695,338 is 666674580.
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FAQs on LCM of 172, 429, 695, 338
1. What is the LCM of 172, 429, 695, 338?
Answer: LCM of 172, 429, 695, 338 is 666674580.
2. How to calculate the LCM of 172, 429, 695, 338?
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 172, 429, 695, 338.
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}.