Find the LCM of 759, 770, 644, 326, 849 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 759, 770, 644, 326, 849. So, keep reading to learn more.
Given numbers are 759,770,644,326,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,770,644,326,849 is 4901667540.
Find LCM of 759,770,644,326,849 with Prime Factorization
2 | 759, 770, 644, 326, 849 |
3 | 759, 385, 322, 163, 849 |
7 | 253, 385, 322, 163, 283 |
11 | 253, 55, 46, 163, 283 |
23 | 23, 5, 46, 163, 283 |
1, 5, 2, 163, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 23 x 1 x 5 x 2 x 163 x 283 = 4901667540
Therefore, the lowest common multiple of 759,770,644,326,849 is 4901667540.
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.
759 x 770 x 644 x 326 x 849 = 104170238560080
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
326 : 1, 2, 163, 326
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,770,644,326,849, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
770:2x 5x 7x 11
644:2x 2x 7x 23
326:2x 163
849:3x 283
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 3x 7x 11x 23 = 21252
Therefore, the value for common factors is 21252.
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 = 104170238560080/(1x21252)
LCM = 104170238560080/21252
LCM = 4901667540
Thus, we can understand that the LCM of 759,770,644,326,849 is 4901667540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 759, 770, 644, 326, 849?
Answer: LCM of 759, 770, 644, 326, 849 is 4901667540.
2. How to calculate the LCM of 759, 770, 644, 326, 849?
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 759, 770, 644, 326, 849.
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}.