LCM of 334, 701, 715, 494, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 701, 715, 494, 990 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 334, 701, 715, 494, 990. So, keep reading to learn more.
Given numbers are 334,701,715,494,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,701,715,494,990 is 28626393510.
Find LCM of 334,701,715,494,990 with Prime Factorization
| 2 | 334, 701, 715, 494, 990 |
| 5 | 167, 701, 715, 247, 495 |
| 11 | 167, 701, 143, 247, 99 |
| 13 | 167, 701, 13, 247, 9 |
| 167, 701, 1, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 167 x 701 x 1 x 19 x 9 = 28626393510
Therefore, the lowest common multiple of 334,701,715,494,990 is 28626393510.
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.
334 x 701 x 715 x 494 x 990 = 81871485438600
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.
334 : 1, 2, 167, 334
701 : 1, 701
715 : 1, 5, 11, 13, 55, 65, 143, 715
494 : 1, 2, 13, 19, 26, 38, 247, 494
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,701,715,494,990, is 1.
Now, the common factors can be found like this.
334:2x 167
701:701
715:5x 11x 13
494:2x 13x 19
990:2x 3x 3x 5x 11
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 5x 11x 13 = 2860
Therefore, the value for common factors is 2860.
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 = 81871485438600/(1x2860)
LCM = 81871485438600/2860
LCM = 28626393510
Thus, we can understand that the LCM of 334,701,715,494,990 is 28626393510.
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FAQs on LCM of 334, 701, 715, 494, 990
1. What is the LCM of 334, 701, 715, 494, 990?
Answer: LCM of 334, 701, 715, 494, 990 is 28626393510.
2. How to calculate the LCM of 334, 701, 715, 494, 990?
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 334, 701, 715, 494, 990.
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}.