Find the LCM of 626, 240, 644, 765, 765 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 626, 240, 644, 765, 765. So, keep reading to learn more.
Given numbers are 626,240,644,765,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,240,644,765,765 is 616810320.
Find LCM of 626,240,644,765,765 with Prime Factorization
2 | 626, 240, 644, 765, 765 |
2 | 313, 120, 322, 765, 765 |
3 | 313, 60, 161, 765, 765 |
3 | 313, 20, 161, 255, 255 |
5 | 313, 20, 161, 85, 85 |
17 | 313, 4, 161, 17, 17 |
313, 4, 161, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 313 x 4 x 161 x 1 x 1 = 616810320
Therefore, the lowest common multiple of 626,240,644,765,765 is 616810320.
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.
626 x 240 x 644 x 765 x 765 = 56623187376000
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.
626 : 1, 2, 313, 626
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,240,644,765,765, is 1.
Now, the common factors can be found like this.
626:2x 313
240:2x 2x 2x 2x 3x 5
644:2x 2x 7x 23
765:3x 3x 5x 17
765:3x 3x 5x 17
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 2x 3x 3x 3x 5x 5x 17 = 91800
Therefore, the value for common factors is 91800.
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 = 56623187376000/(1x91800)
LCM = 56623187376000/91800
LCM = 616810320
Thus, we can understand that the LCM of 626,240,644,765,765 is 616810320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 626, 240, 644, 765, 765?
Answer: LCM of 626, 240, 644, 765, 765 is 616810320.
2. How to calculate the LCM of 626, 240, 644, 765, 765?
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 626, 240, 644, 765, 765.
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}.