Find the LCM of 750, 135, 608, 544, 769 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, 135, 608, 544, 769. So, keep reading to learn more.
Given numbers are 750,135,608,544,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,135,608,544,769 is 26825796000.
Find LCM of 750,135,608,544,769 with Prime Factorization
2 | 750, 135, 608, 544, 769 |
2 | 375, 135, 304, 272, 769 |
2 | 375, 135, 152, 136, 769 |
2 | 375, 135, 76, 68, 769 |
2 | 375, 135, 38, 34, 769 |
3 | 375, 135, 19, 17, 769 |
5 | 125, 45, 19, 17, 769 |
25, 9, 19, 17, 769 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 25 x 9 x 19 x 17 x 769 = 26825796000
Therefore, the lowest common multiple of 750,135,608,544,769 is 26825796000.
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 135 x 608 x 544 x 769 = 25752764160000
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,135,608,544,769, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
135:3x 3x 3x 5
608:2x 2x 2x 2x 2x 19
544:2x 2x 2x 2x 2x 17
769:769
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 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 25752764160000/(1x960)
LCM = 25752764160000/960
LCM = 26825796000
Thus, we can understand that the LCM of 750,135,608,544,769 is 26825796000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 135, 608, 544, 769?
Answer: LCM of 750, 135, 608, 544, 769 is 26825796000.
2. How to calculate the LCM of 750, 135, 608, 544, 769?
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, 135, 608, 544, 769.
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}.