Find the LCM of 828, 779, 893, 737 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 828, 779, 893, 737. So, keep reading to learn more.
Given numbers are 828,779,893,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,779,893,737 is 22342570668.
Find LCM of 828,779,893,737 with Prime Factorization
19 | 828, 779, 893, 737 |
828, 41, 47, 737 |
Multiply the prime numbers at the bottom and the left side.
19 x 828 x 41 x 47 x 737 = 22342570668
Therefore, the lowest common multiple of 828,779,893,737 is 22342570668.
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.
828 x 779 x 893 x 737 = 424508842692
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
779 : 1, 19, 41, 779
893 : 1, 19, 47, 893
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,779,893,737, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
779:19x 41
893:19x 47
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 424508842692/(1x19)
LCM = 424508842692/19
LCM = 22342570668
Thus, we can understand that the LCM of 828,779,893,737 is 22342570668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 779, 893, 737?
Answer: LCM of 828, 779, 893, 737 is 22342570668.
2. How to calculate the LCM of 828, 779, 893, 737?
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 828, 779, 893, 737.
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}.