Find the LCM of 467, 995, 995, 820, 729 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 467, 995, 995, 820, 729. So, keep reading to learn more.
Given numbers are 467,995,995,820,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,995,995,820,729 is 55553488740.
Find LCM of 467,995,995,820,729 with Prime Factorization
5 | 467, 995, 995, 820, 729 |
199 | 467, 199, 199, 164, 729 |
467, 1, 1, 164, 729 |
Multiply the prime numbers at the bottom and the left side.
5 x 199 x 467 x 1 x 1 x 164 x 729 = 55553488740
Therefore, the lowest common multiple of 467,995,995,820,729 is 55553488740.
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.
467 x 995 x 995 x 820 x 729 = 276378606481500
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.
467 : 1, 467
995 : 1, 5, 199, 995
995 : 1, 5, 199, 995
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,995,995,820,729, is 1.
Now, the common factors can be found like this.
467:467
995:5x 199
995:5x 199
820:2x 2x 5x 41
729:3x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 199 = 4975
Therefore, the value for common factors is 4975.
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 = 276378606481500/(1x4975)
LCM = 276378606481500/4975
LCM = 55553488740
Thus, we can understand that the LCM of 467,995,995,820,729 is 55553488740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 995, 995, 820, 729?
Answer: LCM of 467, 995, 995, 820, 729 is 55553488740.
2. How to calculate the LCM of 467, 995, 995, 820, 729?
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 467, 995, 995, 820, 729.
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}.