Find the LCM of 753, 828, 502, 893, 364 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 753, 828, 502, 893, 364. So, keep reading to learn more.
Given numbers are 753,828,502,893,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,828,502,893,364 is 16888726764.
Find LCM of 753,828,502,893,364 with Prime Factorization
2 | 753, 828, 502, 893, 364 |
2 | 753, 414, 251, 893, 182 |
3 | 753, 207, 251, 893, 91 |
251 | 251, 69, 251, 893, 91 |
1, 69, 1, 893, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 251 x 1 x 69 x 1 x 893 x 91 = 16888726764
Therefore, the lowest common multiple of 753,828,502,893,364 is 16888726764.
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.
753 x 828 x 502 x 893 x 364 = 101737690026336
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.
753 : 1, 3, 251, 753
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
502 : 1, 2, 251, 502
893 : 1, 19, 47, 893
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,828,502,893,364, is 1.
Now, the common factors can be found like this.
753:3x 251
828:2x 2x 3x 3x 23
502:2x 251
893:19x 47
364:2x 2x 7x 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 2x 3x 251 = 6024
Therefore, the value for common factors is 6024.
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 = 101737690026336/(1x6024)
LCM = 101737690026336/6024
LCM = 16888726764
Thus, we can understand that the LCM of 753,828,502,893,364 is 16888726764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 753, 828, 502, 893, 364?
Answer: LCM of 753, 828, 502, 893, 364 is 16888726764.
2. How to calculate the LCM of 753, 828, 502, 893, 364?
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 753, 828, 502, 893, 364.
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}.