LCM of 740, 715, 328, 814, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 715, 328, 814, 787 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 740, 715, 328, 814, 787. So, keep reading to learn more.
Given numbers are 740,715,328,814,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,715,328,814,787 is 6828987880.
Find LCM of 740,715,328,814,787 with Prime Factorization
| 2 | 740, 715, 328, 814, 787 |
| 2 | 370, 715, 164, 407, 787 |
| 5 | 185, 715, 82, 407, 787 |
| 11 | 37, 143, 82, 407, 787 |
| 37 | 37, 13, 82, 37, 787 |
| 1, 13, 82, 1, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 37 x 1 x 13 x 82 x 1 x 787 = 6828987880
Therefore, the lowest common multiple of 740,715,328,814,787 is 6828987880.
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.
740 x 715 x 328 x 814 x 787 = 111175922686400
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
715 : 1, 5, 11, 13, 55, 65, 143, 715
328 : 1, 2, 4, 8, 41, 82, 164, 328
814 : 1, 2, 11, 22, 37, 74, 407, 814
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,715,328,814,787, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
715:5x 11x 13
328:2x 2x 2x 41
814:2x 11x 37
787:787
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 5x 11x 37 = 16280
Therefore, the value for common factors is 16280.
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 = 111175922686400/(1x16280)
LCM = 111175922686400/16280
LCM = 6828987880
Thus, we can understand that the LCM of 740,715,328,814,787 is 6828987880.
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FAQs on LCM of 740, 715, 328, 814, 787
1. What is the LCM of 740, 715, 328, 814, 787?
Answer: LCM of 740, 715, 328, 814, 787 is 6828987880.
2. How to calculate the LCM of 740, 715, 328, 814, 787?
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 740, 715, 328, 814, 787.
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}.