LCM of 192, 429, 473, 440, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 429, 473, 440, 677 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 192, 429, 473, 440, 677. So, keep reading to learn more.
Given numbers are 192,429,473,440,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,429,473,440,677 is 3996358080.
Find LCM of 192,429,473,440,677 with Prime Factorization
| 2 | 192, 429, 473, 440, 677 |
| 2 | 96, 429, 473, 220, 677 |
| 2 | 48, 429, 473, 110, 677 |
| 3 | 24, 429, 473, 55, 677 |
| 11 | 8, 143, 473, 55, 677 |
| 8, 13, 43, 5, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 8 x 13 x 43 x 5 x 677 = 3996358080
Therefore, the lowest common multiple of 192,429,473,440,677 is 3996358080.
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.
192 x 429 x 473 x 440 x 677 = 11605423864320
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
429 : 1, 3, 11, 13, 33, 39, 143, 429
473 : 1, 11, 43, 473
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,429,473,440,677, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
429:3x 11x 13
473:11x 43
440:2x 2x 2x 5x 11
677:677
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 2x 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 11605423864320/(1x2904)
LCM = 11605423864320/2904
LCM = 3996358080
Thus, we can understand that the LCM of 192,429,473,440,677 is 3996358080.
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FAQs on LCM of 192, 429, 473, 440, 677
1. What is the LCM of 192, 429, 473, 440, 677?
Answer: LCM of 192, 429, 473, 440, 677 is 3996358080.
2. How to calculate the LCM of 192, 429, 473, 440, 677?
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 192, 429, 473, 440, 677.
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}.