Find the LCM of 631, 762, 847, 795, 770 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 631, 762, 847, 795, 770. So, keep reading to learn more.
Given numbers are 631,762,847,795,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,762,847,795,770 is 107922902010.
Find LCM of 631,762,847,795,770 with Prime Factorization
2 | 631, 762, 847, 795, 770 |
3 | 631, 381, 847, 795, 385 |
5 | 631, 127, 847, 265, 385 |
7 | 631, 127, 847, 53, 77 |
11 | 631, 127, 121, 53, 11 |
631, 127, 1, 53, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 631 x 127 x 1 x 53 x 11 = 107922902010
Therefore, the lowest common multiple of 631,762,847,795,770 is 107922902010.
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.
631 x 762 x 847 x 795 x 770 = 249301903643100
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.
631 : 1, 631
762 : 1, 2, 3, 6, 127, 254, 381, 762
847 : 1, 7, 11, 77, 121, 847
795 : 1, 3, 5, 15, 53, 159, 265, 795
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,762,847,795,770, is 1.
Now, the common factors can be found like this.
631:631
762:2x 3x 127
847:7x 11x 11
795:3x 5x 53
770:2x 5x 7x 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 3x 5x 7x 11 = 2310
Therefore, the value for common factors is 2310.
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 = 249301903643100/(1x2310)
LCM = 249301903643100/2310
LCM = 107922902010
Thus, we can understand that the LCM of 631,762,847,795,770 is 107922902010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 762, 847, 795, 770?
Answer: LCM of 631, 762, 847, 795, 770 is 107922902010.
2. How to calculate the LCM of 631, 762, 847, 795, 770?
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 631, 762, 847, 795, 770.
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}.