LCM of 432, 742, 318, 726, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 742, 318, 726, 857 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 432, 742, 318, 726, 857. So, keep reading to learn more.
Given numbers are 432,742,318,726,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,742,318,726,857 is 16619725584.
Find LCM of 432,742,318,726,857 with Prime Factorization
| 2 | 432, 742, 318, 726, 857 |
| 3 | 216, 371, 159, 363, 857 |
| 53 | 72, 371, 53, 121, 857 |
| 72, 7, 1, 121, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 72 x 7 x 1 x 121 x 857 = 16619725584
Therefore, the lowest common multiple of 432,742,318,726,857 is 16619725584.
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.
432 x 742 x 318 x 726 x 857 = 63420872828544
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
742 : 1, 2, 7, 14, 53, 106, 371, 742
318 : 1, 2, 3, 6, 53, 106, 159, 318
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,742,318,726,857, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
742:2x 7x 53
318:2x 3x 53
726:2x 3x 11x 11
857:857
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 3x 53 = 3816
Therefore, the value for common factors is 3816.
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 = 63420872828544/(1x3816)
LCM = 63420872828544/3816
LCM = 16619725584
Thus, we can understand that the LCM of 432,742,318,726,857 is 16619725584.
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FAQs on LCM of 432, 742, 318, 726, 857
1. What is the LCM of 432, 742, 318, 726, 857?
Answer: LCM of 432, 742, 318, 726, 857 is 16619725584.
2. How to calculate the LCM of 432, 742, 318, 726, 857?
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 432, 742, 318, 726, 857.
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}.