Find the LCM of 644, 345, 275, 971, 792 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 644, 345, 275, 971, 792. So, keep reading to learn more.
Given numbers are 644,345,275,971,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,345,275,971,792 is 3095353800.
Find LCM of 644,345,275,971,792 with Prime Factorization
2 | 644, 345, 275, 971, 792 |
2 | 322, 345, 275, 971, 396 |
3 | 161, 345, 275, 971, 198 |
5 | 161, 115, 275, 971, 66 |
11 | 161, 23, 55, 971, 66 |
23 | 161, 23, 5, 971, 6 |
7, 1, 5, 971, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 23 x 7 x 1 x 5 x 971 x 6 = 3095353800
Therefore, the lowest common multiple of 644,345,275,971,792 is 3095353800.
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.
644 x 345 x 275 x 971 x 792 = 46987470684000
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
345 : 1, 3, 5, 15, 23, 69, 115, 345
275 : 1, 5, 11, 25, 55, 275
971 : 1, 971
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,345,275,971,792, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
345:3x 5x 23
275:5x 5x 11
971:971
792:2x 2x 2x 3x 3x 11
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 5x 11x 23 = 15180
Therefore, the value for common factors is 15180.
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 = 46987470684000/(1x15180)
LCM = 46987470684000/15180
LCM = 3095353800
Thus, we can understand that the LCM of 644,345,275,971,792 is 3095353800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 644, 345, 275, 971, 792?
Answer: LCM of 644, 345, 275, 971, 792 is 3095353800.
2. How to calculate the LCM of 644, 345, 275, 971, 792?
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 644, 345, 275, 971, 792.
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}.