LCM of 294, 407, 508, 636, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 407, 508, 636, 561 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 294, 407, 508, 636, 561. So, keep reading to learn more.
Given numbers are 294,407,508,636,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,407,508,636,561 is 27384211932.
Find LCM of 294,407,508,636,561 with Prime Factorization
| 2 | 294, 407, 508, 636, 561 |
| 2 | 147, 407, 254, 318, 561 |
| 3 | 147, 407, 127, 159, 561 |
| 11 | 49, 407, 127, 53, 187 |
| 49, 37, 127, 53, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 49 x 37 x 127 x 53 x 17 = 27384211932
Therefore, the lowest common multiple of 294,407,508,636,561 is 27384211932.
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.
294 x 407 x 508 x 636 x 561 = 21688295850144
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
407 : 1, 11, 37, 407
508 : 1, 2, 4, 127, 254, 508
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,407,508,636,561, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
407:11x 37
508:2x 2x 127
636:2x 2x 3x 53
561:3x 11x 17
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 11 = 792
Therefore, the value for common factors is 792.
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 = 21688295850144/(1x792)
LCM = 21688295850144/792
LCM = 27384211932
Thus, we can understand that the LCM of 294,407,508,636,561 is 27384211932.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 294, 407, 508, 636, 561
1. What is the LCM of 294, 407, 508, 636, 561?
Answer: LCM of 294, 407, 508, 636, 561 is 27384211932.
2. How to calculate the LCM of 294, 407, 508, 636, 561?
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 294, 407, 508, 636, 561.
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}.