LCM of 380, 668, 928, 728, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 668, 928, 728, 715 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 380, 668, 928, 728, 715. So, keep reading to learn more.
Given numbers are 380,668,928,728,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,668,928,728,715 is 14737442720.
Find LCM of 380,668,928,728,715 with Prime Factorization
| 2 | 380, 668, 928, 728, 715 |
| 2 | 190, 334, 464, 364, 715 |
| 2 | 95, 167, 232, 182, 715 |
| 5 | 95, 167, 116, 91, 715 |
| 13 | 19, 167, 116, 91, 143 |
| 19, 167, 116, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 19 x 167 x 116 x 7 x 11 = 14737442720
Therefore, the lowest common multiple of 380,668,928,728,715 is 14737442720.
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.
380 x 668 x 928 x 728 x 715 = 122615523430400
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
668 : 1, 2, 4, 167, 334, 668
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,668,928,728,715, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
668:2x 2x 167
928:2x 2x 2x 2x 2x 29
728:2x 2x 2x 7x 13
715:5x 11x 13
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 2x 2x 5x 13 = 8320
Therefore, the value for common factors is 8320.
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 = 122615523430400/(1x8320)
LCM = 122615523430400/8320
LCM = 14737442720
Thus, we can understand that the LCM of 380,668,928,728,715 is 14737442720.
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FAQs on LCM of 380, 668, 928, 728, 715
1. What is the LCM of 380, 668, 928, 728, 715?
Answer: LCM of 380, 668, 928, 728, 715 is 14737442720.
2. How to calculate the LCM of 380, 668, 928, 728, 715?
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 380, 668, 928, 728, 715.
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}.