LCM of 455, 951, 247, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 951, 247, 634 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 455, 951, 247, 634. So, keep reading to learn more.
Given numbers are 455,951,247,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,951,247,634 is 16442790.
Find LCM of 455,951,247,634 with Prime Factorization
| 13 | 455, 951, 247, 634 |
| 317 | 35, 951, 19, 634 |
| 35, 3, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
13 x 317 x 35 x 3 x 19 x 2 = 16442790
Therefore, the lowest common multiple of 455,951,247,634 is 16442790.
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.
455 x 951 x 247 x 634 = 67760737590
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
951 : 1, 3, 317, 951
247 : 1, 13, 19, 247
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,951,247,634, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
951:3x 317
247:13x 19
634:2x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 317 = 4121
Therefore, the value for common factors is 4121.
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 = 67760737590/(1x4121)
LCM = 67760737590/4121
LCM = 16442790
Thus, we can understand that the LCM of 455,951,247,634 is 16442790.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 455, 951, 247, 634
1. What is the LCM of 455, 951, 247, 634?
Answer: LCM of 455, 951, 247, 634 is 16442790.
2. How to calculate the LCM of 455, 951, 247, 634?
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 455, 951, 247, 634.
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}.