LCM of 473, 366, 417, 969, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 366, 417, 969, 785 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, 366, 417, 969, 785. So, keep reading to learn more.
Given numbers are 473,366,417,969,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,366,417,969,785 is 6101395894110.
Find LCM of 473,366,417,969,785 with Prime Factorization
| 3 | 473, 366, 417, 969, 785 |
| 473, 122, 139, 323, 785 |
Multiply the prime numbers at the bottom and the left side.
3 x 473 x 122 x 139 x 323 x 785 = 6101395894110
Therefore, the lowest common multiple of 473,366,417,969,785 is 6101395894110.
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 366 x 417 x 969 x 785 = 54912563046990
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
366 : 1, 2, 3, 6, 61, 122, 183, 366
417 : 1, 3, 139, 417
969 : 1, 3, 17, 19, 51, 57, 323, 969
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,366,417,969,785, is 1.
Now, the common factors can be found like this.
473:11x 43
366:2x 3x 61
417:3x 139
969:3x 17x 19
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 54912563046990/(1x9)
LCM = 54912563046990/9
LCM = 6101395894110
Thus, we can understand that the LCM of 473,366,417,969,785 is 6101395894110.
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, 366, 417, 969, 785
1. What is the LCM of 473, 366, 417, 969, 785?
Answer: LCM of 473, 366, 417, 969, 785 is 6101395894110.
2. How to calculate the LCM of 473, 366, 417, 969, 785?
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, 366, 417, 969, 785.
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}.