LCM of 649, 635, 760, 285, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 635, 760, 285, 932 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 649, 635, 760, 285, 932. So, keep reading to learn more.
Given numbers are 649,635,760,285,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,635,760,285,932 is 43786394520.
Find LCM of 649,635,760,285,932 with Prime Factorization
| 2 | 649, 635, 760, 285, 932 |
| 2 | 649, 635, 380, 285, 466 |
| 5 | 649, 635, 190, 285, 233 |
| 19 | 649, 127, 38, 57, 233 |
| 649, 127, 2, 3, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 649 x 127 x 2 x 3 x 233 = 43786394520
Therefore, the lowest common multiple of 649,635,760,285,932 is 43786394520.
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.
649 x 635 x 760 x 285 x 932 = 83194149588000
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.
649 : 1, 11, 59, 649
635 : 1, 5, 127, 635
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
285 : 1, 3, 5, 15, 19, 57, 95, 285
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,635,760,285,932, is 1.
Now, the common factors can be found like this.
649:11x 59
635:5x 127
760:2x 2x 2x 5x 19
285:3x 5x 19
932:2x 2x 233
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 5x 5x 19 = 1900
Therefore, the value for common factors is 1900.
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 = 83194149588000/(1x1900)
LCM = 83194149588000/1900
LCM = 43786394520
Thus, we can understand that the LCM of 649,635,760,285,932 is 43786394520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 649, 635, 760, 285, 932
1. What is the LCM of 649, 635, 760, 285, 932?
Answer: LCM of 649, 635, 760, 285, 932 is 43786394520.
2. How to calculate the LCM of 649, 635, 760, 285, 932?
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 649, 635, 760, 285, 932.
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}.