LCM of 812, 813, 756, 705, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 813, 756, 705, 429 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 812, 813, 756, 705, 429. So, keep reading to learn more.
Given numbers are 812,813,756,705,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,813,756,705,429 is 199660881420.
Find LCM of 812,813,756,705,429 with Prime Factorization
| 2 | 812, 813, 756, 705, 429 |
| 2 | 406, 813, 378, 705, 429 |
| 3 | 203, 813, 189, 705, 429 |
| 7 | 203, 271, 63, 235, 143 |
| 29, 271, 9, 235, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 271 x 9 x 235 x 143 = 199660881420
Therefore, the lowest common multiple of 812,813,756,705,429 is 199660881420.
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.
812 x 813 x 756 x 705 x 429 = 150943626353520
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
813 : 1, 3, 271, 813
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
705 : 1, 3, 5, 15, 47, 141, 235, 705
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,813,756,705,429, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
813:3x 271
756:2x 2x 3x 3x 3x 7
705:3x 5x 47
429:3x 11x 13
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 150943626353520/(1x756)
LCM = 150943626353520/756
LCM = 199660881420
Thus, we can understand that the LCM of 812,813,756,705,429 is 199660881420.
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FAQs on LCM of 812, 813, 756, 705, 429
1. What is the LCM of 812, 813, 756, 705, 429?
Answer: LCM of 812, 813, 756, 705, 429 is 199660881420.
2. How to calculate the LCM of 812, 813, 756, 705, 429?
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 812, 813, 756, 705, 429.
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}.