LCM of 473, 187, 801, 649, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 187, 801, 649, 403 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 473, 187, 801, 649, 403. So, keep reading to learn more.
Given numbers are 473,187,801,649,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,187,801,649,403 is 153143876457.
Find LCM of 473,187,801,649,403 with Prime Factorization
| 11 | 473, 187, 801, 649, 403 |
| 43, 17, 801, 59, 403 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 17 x 801 x 59 x 403 = 153143876457
Therefore, the lowest common multiple of 473,187,801,649,403 is 153143876457.
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.
473 x 187 x 801 x 649 x 403 = 18530409051297
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.
473 : 1, 11, 43, 473
187 : 1, 11, 17, 187
801 : 1, 3, 9, 89, 267, 801
649 : 1, 11, 59, 649
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,187,801,649,403, is 1.
Now, the common factors can be found like this.
473:11x 43
187:11x 17
801:3x 3x 89
649:11x 59
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 18530409051297/(1x121)
LCM = 18530409051297/121
LCM = 153143876457
Thus, we can understand that the LCM of 473,187,801,649,403 is 153143876457.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 473, 187, 801, 649, 403
1. What is the LCM of 473, 187, 801, 649, 403?
Answer: LCM of 473, 187, 801, 649, 403 is 153143876457.
2. How to calculate the LCM of 473, 187, 801, 649, 403?
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 473, 187, 801, 649, 403.
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}.