LCM of 649, 978, 372, 416, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 978, 372, 416, 465 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, 978, 372, 416, 465. So, keep reading to learn more.
Given numbers are 649,978,372,416,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,978,372,416,465 is 20463437280.
Find LCM of 649,978,372,416,465 with Prime Factorization
| 2 | 649, 978, 372, 416, 465 |
| 2 | 649, 489, 186, 208, 465 |
| 3 | 649, 489, 93, 104, 465 |
| 31 | 649, 163, 31, 104, 155 |
| 649, 163, 1, 104, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 649 x 163 x 1 x 104 x 5 = 20463437280
Therefore, the lowest common multiple of 649,978,372,416,465 is 20463437280.
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 978 x 372 x 416 x 465 = 45674392008960
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,978,372,416,465, is 1.
Now, the common factors can be found like this.
649:11x 59
978:2x 3x 163
372:2x 2x 3x 31
416:2x 2x 2x 2x 2x 13
465:3x 5x 31
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 31 = 2232
Therefore, the value for common factors is 2232.
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 = 45674392008960/(1x2232)
LCM = 45674392008960/2232
LCM = 20463437280
Thus, we can understand that the LCM of 649,978,372,416,465 is 20463437280.
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, 978, 372, 416, 465
1. What is the LCM of 649, 978, 372, 416, 465?
Answer: LCM of 649, 978, 372, 416, 465 is 20463437280.
2. How to calculate the LCM of 649, 978, 372, 416, 465?
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, 978, 372, 416, 465.
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}.