LCM of 429, 585, 770, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 585, 770, 112 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, 585, 770, 112. So, keep reading to learn more.
Given numbers are 429,585,770,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,585,770,112 is 720720.
Find LCM of 429,585,770,112 with Prime Factorization
| 2 | 429, 585, 770, 112 |
| 3 | 429, 585, 385, 56 |
| 5 | 143, 195, 385, 56 |
| 7 | 143, 39, 77, 56 |
| 11 | 143, 39, 11, 8 |
| 13 | 13, 39, 1, 8 |
| 1, 3, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 13 x 1 x 3 x 1 x 8 = 720720
Therefore, the lowest common multiple of 429,585,770,112 is 720720.
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 585 x 770 x 112 = 21643221600
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
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,585,770,112, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
585:3x 3x 5x 13
770:2x 5x 7x 11
112:2x 2x 2x 2x 7
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 5x 7x 11x 13 = 30030
Therefore, the value for common factors is 30030.
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 = 21643221600/(1x30030)
LCM = 21643221600/30030
LCM = 720720
Thus, we can understand that the LCM of 429,585,770,112 is 720720.
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FAQs on LCM of 429, 585, 770, 112
1. What is the LCM of 429, 585, 770, 112?
Answer: LCM of 429, 585, 770, 112 is 720720.
2. How to calculate the LCM of 429, 585, 770, 112?
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, 585, 770, 112.
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}.