LCM of 421, 560, 540, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 560, 540, 578 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 421, 560, 540, 578. So, keep reading to learn more.
Given numbers are 421,560,540,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,560,540,578 is 1839635280.
Find LCM of 421,560,540,578 with Prime Factorization
| 2 | 421, 560, 540, 578 |
| 2 | 421, 280, 270, 289 |
| 5 | 421, 140, 135, 289 |
| 421, 28, 27, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 421 x 28 x 27 x 289 = 1839635280
Therefore, the lowest common multiple of 421,560,540,578 is 1839635280.
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.
421 x 560 x 540 x 578 = 73585411200
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.
421 : 1, 421
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,560,540,578, is 1.
Now, the common factors can be found like this.
421:421
560:2x 2x 2x 2x 5x 7
540:2x 2x 3x 3x 3x 5
578:2x 17x 17
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 5 = 40
Therefore, the value for common factors is 40.
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 = 73585411200/(1x40)
LCM = 73585411200/40
LCM = 1839635280
Thus, we can understand that the LCM of 421,560,540,578 is 1839635280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 421, 560, 540, 578
1. What is the LCM of 421, 560, 540, 578?
Answer: LCM of 421, 560, 540, 578 is 1839635280.
2. How to calculate the LCM of 421, 560, 540, 578?
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 421, 560, 540, 578.
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}.