LCM of 429, 988, 748, 192, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 988, 748, 192, 207 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, 988, 748, 192, 207. So, keep reading to learn more.
Given numbers are 429,988,748,192,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,988,748,192,207 is 611911872.
Find LCM of 429,988,748,192,207 with Prime Factorization
| 2 | 429, 988, 748, 192, 207 |
| 2 | 429, 494, 374, 96, 207 |
| 3 | 429, 247, 187, 48, 207 |
| 11 | 143, 247, 187, 16, 69 |
| 13 | 13, 247, 17, 16, 69 |
| 1, 19, 17, 16, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 1 x 19 x 17 x 16 x 69 = 611911872
Therefore, the lowest common multiple of 429,988,748,192,207 is 611911872.
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 988 x 748 x 192 x 207 = 12600489268224
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,988,748,192,207, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
988:2x 2x 13x 19
748:2x 2x 11x 17
192:2x 2x 2x 2x 2x 2x 3
207:3x 3x 23
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 2x 3x 3x 11x 13 = 20592
Therefore, the value for common factors is 20592.
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 = 12600489268224/(1x20592)
LCM = 12600489268224/20592
LCM = 611911872
Thus, we can understand that the LCM of 429,988,748,192,207 is 611911872.
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FAQs on LCM of 429, 988, 748, 192, 207
1. What is the LCM of 429, 988, 748, 192, 207?
Answer: LCM of 429, 988, 748, 192, 207 is 611911872.
2. How to calculate the LCM of 429, 988, 748, 192, 207?
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, 988, 748, 192, 207.
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}.