Find the LCM of 750, 771, 810, 631, 631 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 750, 771, 810, 631, 631. So, keep reading to learn more.
Given numbers are 750,771,810,631,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,771,810,631,631 is 3283881750.
Find LCM of 750,771,810,631,631 with Prime Factorization
2 | 750, 771, 810, 631, 631 |
3 | 375, 771, 405, 631, 631 |
5 | 125, 257, 135, 631, 631 |
631 | 25, 257, 27, 631, 631 |
25, 257, 27, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 631 x 25 x 257 x 27 x 1 x 1 = 3283881750
Therefore, the lowest common multiple of 750,771,810,631,631 is 3283881750.
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.
750 x 771 x 810 x 631 x 631 = 186491644582500
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
771 : 1, 3, 257, 771
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
631 : 1, 631
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,771,810,631,631, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
771:3x 257
810:2x 3x 3x 3x 3x 5
631:631
631:631
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 3x 5x 631 = 56790
Therefore, the value for common factors is 56790.
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 = 186491644582500/(1x56790)
LCM = 186491644582500/56790
LCM = 3283881750
Thus, we can understand that the LCM of 750,771,810,631,631 is 3283881750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 771, 810, 631, 631?
Answer: LCM of 750, 771, 810, 631, 631 is 3283881750.
2. How to calculate the LCM of 750, 771, 810, 631, 631?
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 750, 771, 810, 631, 631.
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}.