LCM of 619, 540, 160, 842, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 540, 160, 842, 126 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 619, 540, 160, 842, 126. So, keep reading to learn more.
Given numbers are 619,540,160,842,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,540,160,842,126 is 7880513760.
Find LCM of 619,540,160,842,126 with Prime Factorization
| 2 | 619, 540, 160, 842, 126 |
| 2 | 619, 270, 80, 421, 63 |
| 3 | 619, 135, 40, 421, 63 |
| 3 | 619, 45, 40, 421, 21 |
| 5 | 619, 15, 40, 421, 7 |
| 619, 3, 8, 421, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 619 x 3 x 8 x 421 x 7 = 7880513760
Therefore, the lowest common multiple of 619,540,160,842,126 is 7880513760.
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.
619 x 540 x 160 x 842 x 126 = 5673969907200
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.
619 : 1, 619
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
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
842 : 1, 2, 421, 842
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,540,160,842,126, is 1.
Now, the common factors can be found like this.
619:619
540:2x 2x 3x 3x 3x 5
160:2x 2x 2x 2x 2x 5
842:2x 421
126:2x 3x 3x 7
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 5 = 720
Therefore, the value for common factors is 720.
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 = 5673969907200/(1x720)
LCM = 5673969907200/720
LCM = 7880513760
Thus, we can understand that the LCM of 619,540,160,842,126 is 7880513760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 619, 540, 160, 842, 126
1. What is the LCM of 619, 540, 160, 842, 126?
Answer: LCM of 619, 540, 160, 842, 126 is 7880513760.
2. How to calculate the LCM of 619, 540, 160, 842, 126?
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 619, 540, 160, 842, 126.
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}.