LCM of 172, 707, 129, 497, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 707, 129, 497, 774 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, 707, 129, 497, 774. So, keep reading to learn more.
Given numbers are 172,707,129,497,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,707,129,497,774 is 77704956.
Find LCM of 172,707,129,497,774 with Prime Factorization
| 2 | 172, 707, 129, 497, 774 |
| 3 | 86, 707, 129, 497, 387 |
| 7 | 86, 707, 43, 497, 129 |
| 43 | 86, 101, 43, 71, 129 |
| 2, 101, 1, 71, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 43 x 2 x 101 x 1 x 71 x 3 = 77704956
Therefore, the lowest common multiple of 172,707,129,497,774 is 77704956.
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 707 x 129 x 497 x 774 = 6034411473048
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
707 : 1, 7, 101, 707
129 : 1, 3, 43, 129
497 : 1, 7, 71, 497
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,707,129,497,774, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
707:7x 101
129:3x 43
497:7x 71
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 43x 43 = 77658
Therefore, the value for common factors is 77658.
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 = 6034411473048/(1x77658)
LCM = 6034411473048/77658
LCM = 77704956
Thus, we can understand that the LCM of 172,707,129,497,774 is 77704956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 172, 707, 129, 497, 774
1. What is the LCM of 172, 707, 129, 497, 774?
Answer: LCM of 172, 707, 129, 497, 774 is 77704956.
2. How to calculate the LCM of 172, 707, 129, 497, 774?
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, 707, 129, 497, 774.
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}.