LCM of 174, 429, 153, 923, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 429, 153, 923, 639 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 174, 429, 153, 923, 639. So, keep reading to learn more.
Given numbers are 174,429,153,923,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,429,153,923,639 is 90097722.
Find LCM of 174,429,153,923,639 with Prime Factorization
| 3 | 174, 429, 153, 923, 639 |
| 3 | 58, 143, 51, 923, 213 |
| 13 | 58, 143, 17, 923, 71 |
| 71 | 58, 11, 17, 71, 71 |
| 58, 11, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 71 x 58 x 11 x 17 x 1 x 1 = 90097722
Therefore, the lowest common multiple of 174,429,153,923,639 is 90097722.
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.
174 x 429 x 153 x 923 x 639 = 6735975989886
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
429 : 1, 3, 11, 13, 33, 39, 143, 429
153 : 1, 3, 9, 17, 51, 153
923 : 1, 13, 71, 923
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,429,153,923,639, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
429:3x 11x 13
153:3x 3x 17
923:13x 71
639:3x 3x 71
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 3x 13x 71 = 74763
Therefore, the value for common factors is 74763.
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 = 6735975989886/(1x74763)
LCM = 6735975989886/74763
LCM = 90097722
Thus, we can understand that the LCM of 174,429,153,923,639 is 90097722.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 174, 429, 153, 923, 639
1. What is the LCM of 174, 429, 153, 923, 639?
Answer: LCM of 174, 429, 153, 923, 639 is 90097722.
2. How to calculate the LCM of 174, 429, 153, 923, 639?
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 174, 429, 153, 923, 639.
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}.