LCM of 447, 561, 714, 905, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 561, 714, 905, 399 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 447, 561, 714, 905, 399. So, keep reading to learn more.
Given numbers are 447,561,714,905,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,561,714,905,399 is 20122379970.
Find LCM of 447,561,714,905,399 with Prime Factorization
| 3 | 447, 561, 714, 905, 399 |
| 7 | 149, 187, 238, 905, 133 |
| 17 | 149, 187, 34, 905, 19 |
| 149, 11, 2, 905, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 149 x 11 x 2 x 905 x 19 = 20122379970
Therefore, the lowest common multiple of 447,561,714,905,399 is 20122379970.
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.
447 x 561 x 714 x 905 x 399 = 64653206843610
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.
447 : 1, 3, 149, 447
561 : 1, 3, 11, 17, 33, 51, 187, 561
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
905 : 1, 5, 181, 905
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,561,714,905,399, is 1.
Now, the common factors can be found like this.
447:3x 149
561:3x 11x 17
714:2x 3x 7x 17
905:5x 181
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 17 = 3213
Therefore, the value for common factors is 3213.
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 = 64653206843610/(1x3213)
LCM = 64653206843610/3213
LCM = 20122379970
Thus, we can understand that the LCM of 447,561,714,905,399 is 20122379970.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 447, 561, 714, 905, 399
1. What is the LCM of 447, 561, 714, 905, 399?
Answer: LCM of 447, 561, 714, 905, 399 is 20122379970.
2. How to calculate the LCM of 447, 561, 714, 905, 399?
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 447, 561, 714, 905, 399.
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}.