LCM of 429, 789, 539, 652, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 789, 539, 652, 176 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 429, 789, 539, 652, 176. So, keep reading to learn more.
Given numbers are 429,789,539,652,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,789,539,652,176 is 14418387984.
Find LCM of 429,789,539,652,176 with Prime Factorization
| 2 | 429, 789, 539, 652, 176 |
| 2 | 429, 789, 539, 326, 88 |
| 3 | 429, 789, 539, 163, 44 |
| 11 | 143, 263, 539, 163, 44 |
| 13, 263, 49, 163, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 263 x 49 x 163 x 4 = 14418387984
Therefore, the lowest common multiple of 429,789,539,652,176 is 14418387984.
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.
429 x 789 x 539 x 652 x 176 = 20935499352768
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
789 : 1, 3, 263, 789
539 : 1, 7, 11, 49, 77, 539
652 : 1, 2, 4, 163, 326, 652
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,789,539,652,176, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
789:3x 263
539:7x 7x 11
652:2x 2x 163
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 20935499352768/(1x1452)
LCM = 20935499352768/1452
LCM = 14418387984
Thus, we can understand that the LCM of 429,789,539,652,176 is 14418387984.
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FAQs on LCM of 429, 789, 539, 652, 176
1. What is the LCM of 429, 789, 539, 652, 176?
Answer: LCM of 429, 789, 539, 652, 176 is 14418387984.
2. How to calculate the LCM of 429, 789, 539, 652, 176?
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 429, 789, 539, 652, 176.
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}.