LCM of 368, 418, 884, 207, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 418, 884, 207, 294 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 368, 418, 884, 207, 294. So, keep reading to learn more.
Given numbers are 368,418,884,207,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,418,884,207,294 is 7495920432.
Find LCM of 368,418,884,207,294 with Prime Factorization
| 2 | 368, 418, 884, 207, 294 |
| 2 | 184, 209, 442, 207, 147 |
| 3 | 92, 209, 221, 207, 147 |
| 23 | 92, 209, 221, 69, 49 |
| 4, 209, 221, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 4 x 209 x 221 x 3 x 49 = 7495920432
Therefore, the lowest common multiple of 368,418,884,207,294 is 7495920432.
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.
368 x 418 x 884 x 207 x 294 = 8275496156928
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
418 : 1, 2, 11, 19, 22, 38, 209, 418
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
207 : 1, 3, 9, 23, 69, 207
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,418,884,207,294, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
418:2x 11x 19
884:2x 2x 13x 17
207:3x 3x 23
294:2x 3x 7x 7
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 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 8275496156928/(1x1104)
LCM = 8275496156928/1104
LCM = 7495920432
Thus, we can understand that the LCM of 368,418,884,207,294 is 7495920432.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 368, 418, 884, 207, 294
1. What is the LCM of 368, 418, 884, 207, 294?
Answer: LCM of 368, 418, 884, 207, 294 is 7495920432.
2. How to calculate the LCM of 368, 418, 884, 207, 294?
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 368, 418, 884, 207, 294.
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}.