LCM of 351, 184, 678, 312, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 184, 678, 312, 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 351, 184, 678, 312, 294. So, keep reading to learn more.
Given numbers are 351,184,678,312,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,184,678,312,294 is 357601608.
Find LCM of 351,184,678,312,294 with Prime Factorization
| 2 | 351, 184, 678, 312, 294 |
| 2 | 351, 92, 339, 156, 147 |
| 2 | 351, 46, 339, 78, 147 |
| 3 | 351, 23, 339, 39, 147 |
| 13 | 117, 23, 113, 13, 49 |
| 9, 23, 113, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 9 x 23 x 113 x 1 x 49 = 357601608
Therefore, the lowest common multiple of 351,184,678,312,294 is 357601608.
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.
351 x 184 x 678 x 312 x 294 = 4016581261056
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
184 : 1, 2, 4, 8, 23, 46, 92, 184
678 : 1, 2, 3, 6, 113, 226, 339, 678
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 351,184,678,312,294, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
184:2x 2x 2x 23
678:2x 3x 113
312:2x 2x 2x 3x 13
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 2x 3x 3x 3x 13 = 11232
Therefore, the value for common factors is 11232.
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 = 4016581261056/(1x11232)
LCM = 4016581261056/11232
LCM = 357601608
Thus, we can understand that the LCM of 351,184,678,312,294 is 357601608.
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FAQs on LCM of 351, 184, 678, 312, 294
1. What is the LCM of 351, 184, 678, 312, 294?
Answer: LCM of 351, 184, 678, 312, 294 is 357601608.
2. How to calculate the LCM of 351, 184, 678, 312, 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 351, 184, 678, 312, 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}.