LCM of 296, 684, 667, 399, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 684, 667, 399, 426 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 296, 684, 667, 399, 426. So, keep reading to learn more.
Given numbers are 296,684,667,399,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,684,667,399,426 is 16779153384.
Find LCM of 296,684,667,399,426 with Prime Factorization
| 2 | 296, 684, 667, 399, 426 |
| 2 | 148, 342, 667, 399, 213 |
| 3 | 74, 171, 667, 399, 213 |
| 19 | 74, 57, 667, 133, 71 |
| 74, 3, 667, 7, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 74 x 3 x 667 x 7 x 71 = 16779153384
Therefore, the lowest common multiple of 296,684,667,399,426 is 16779153384.
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.
296 x 684 x 667 x 399 x 426 = 22953881829312
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
667 : 1, 23, 29, 667
399 : 1, 3, 7, 19, 21, 57, 133, 399
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,684,667,399,426, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
684:2x 2x 3x 3x 19
667:23x 29
399:3x 7x 19
426:2x 3x 71
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 19 = 1368
Therefore, the value for common factors is 1368.
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 = 22953881829312/(1x1368)
LCM = 22953881829312/1368
LCM = 16779153384
Thus, we can understand that the LCM of 296,684,667,399,426 is 16779153384.
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FAQs on LCM of 296, 684, 667, 399, 426
1. What is the LCM of 296, 684, 667, 399, 426?
Answer: LCM of 296, 684, 667, 399, 426 is 16779153384.
2. How to calculate the LCM of 296, 684, 667, 399, 426?
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 296, 684, 667, 399, 426.
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}.