LCM of 299, 377, 667, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 377, 667, 678 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 299, 377, 667, 678. So, keep reading to learn more.
Given numbers are 299,377,667,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,377,667,678 is 5878938.
Find LCM of 299,377,667,678 with Prime Factorization
| 13 | 299, 377, 667, 678 |
| 23 | 23, 29, 667, 678 |
| 29 | 1, 29, 29, 678 |
| 1, 1, 1, 678 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 29 x 1 x 1 x 1 x 678 = 5878938
Therefore, the lowest common multiple of 299,377,667,678 is 5878938.
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.
299 x 377 x 667 x 678 = 50976271398
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.
299 : 1, 13, 23, 299
377 : 1, 13, 29, 377
667 : 1, 23, 29, 667
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,377,667,678, is 1.
Now, the common factors can be found like this.
299:13x 23
377:13x 29
667:23x 29
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23x 29 = 8671
Therefore, the value for common factors is 8671.
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 = 50976271398/(1x8671)
LCM = 50976271398/8671
LCM = 5878938
Thus, we can understand that the LCM of 299,377,667,678 is 5878938.
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FAQs on LCM of 299, 377, 667, 678
1. What is the LCM of 299, 377, 667, 678?
Answer: LCM of 299, 377, 667, 678 is 5878938.
2. How to calculate the LCM of 299, 377, 667, 678?
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 299, 377, 667, 678.
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}.