LCM of 128, 540, 612, 619, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 540, 612, 619, 693 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 128, 540, 612, 619, 693. So, keep reading to learn more.
Given numbers are 128,540,612,619,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,540,612,619,693 is 14001482880.
Find LCM of 128,540,612,619,693 with Prime Factorization
| 2 | 128, 540, 612, 619, 693 |
| 2 | 64, 270, 306, 619, 693 |
| 3 | 32, 135, 153, 619, 693 |
| 3 | 32, 45, 51, 619, 231 |
| 32, 15, 17, 619, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 32 x 15 x 17 x 619 x 77 = 14001482880
Therefore, the lowest common multiple of 128,540,612,619,693 is 14001482880.
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.
128 x 540 x 612 x 619 x 693 = 18145921812480
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
619 : 1, 619
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,540,612,619,693, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
540:2x 2x 3x 3x 3x 5
612:2x 2x 3x 3x 17
619:619
693:3x 3x 7x 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 2x 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 18145921812480/(1x1296)
LCM = 18145921812480/1296
LCM = 14001482880
Thus, we can understand that the LCM of 128,540,612,619,693 is 14001482880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 128, 540, 612, 619, 693
1. What is the LCM of 128, 540, 612, 619, 693?
Answer: LCM of 128, 540, 612, 619, 693 is 14001482880.
2. How to calculate the LCM of 128, 540, 612, 619, 693?
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 128, 540, 612, 619, 693.
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}.