Find the LCM of 765, 675, 445, 744, 842 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 765, 675, 445, 744, 842. So, keep reading to learn more.
Given numbers are 765,675,445,744,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,675,445,744,842 is 106629280200.
Find LCM of 765,675,445,744,842 with Prime Factorization
2 | 765, 675, 445, 744, 842 |
3 | 765, 675, 445, 372, 421 |
3 | 255, 225, 445, 124, 421 |
5 | 85, 75, 445, 124, 421 |
17, 15, 89, 124, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 15 x 89 x 124 x 421 = 106629280200
Therefore, the lowest common multiple of 765,675,445,744,842 is 106629280200.
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.
765 x 675 x 445 x 744 x 842 = 143949528270000
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
445 : 1, 5, 89, 445
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,675,445,744,842, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
675:3x 3x 3x 5x 5
445:5x 89
744:2x 2x 2x 3x 31
842:2x 421
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 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 143949528270000/(1x1350)
LCM = 143949528270000/1350
LCM = 106629280200
Thus, we can understand that the LCM of 765,675,445,744,842 is 106629280200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 675, 445, 744, 842?
Answer: LCM of 765, 675, 445, 744, 842 is 106629280200.
2. How to calculate the LCM of 765, 675, 445, 744, 842?
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 765, 675, 445, 744, 842.
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}.