Find the LCM of 788, 957, 761, 385, 443 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 788, 957, 761, 385, 443. So, keep reading to learn more.
Given numbers are 788,957,761,385,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,957,761,385,443 is 8898044689380.
Find LCM of 788,957,761,385,443 with Prime Factorization
11 | 788, 957, 761, 385, 443 |
788, 87, 761, 35, 443 |
Multiply the prime numbers at the bottom and the left side.
11 x 788 x 87 x 761 x 35 x 443 = 8898044689380
Therefore, the lowest common multiple of 788,957,761,385,443 is 8898044689380.
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.
788 x 957 x 761 x 385 x 443 = 97878491583180
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.
788 : 1, 2, 4, 197, 394, 788
957 : 1, 3, 11, 29, 33, 87, 319, 957
761 : 1, 761
385 : 1, 5, 7, 11, 35, 55, 77, 385
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,957,761,385,443, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
957:3x 11x 29
761:761
385:5x 7x 11
443:443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 97878491583180/(1x11)
LCM = 97878491583180/11
LCM = 8898044689380
Thus, we can understand that the LCM of 788,957,761,385,443 is 8898044689380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 788, 957, 761, 385, 443?
Answer: LCM of 788, 957, 761, 385, 443 is 8898044689380.
2. How to calculate the LCM of 788, 957, 761, 385, 443?
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 788, 957, 761, 385, 443.
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}.