LCM of 511, 782, 420, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 782, 420, 842 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 511, 782, 420, 842. So, keep reading to learn more.
Given numbers are 511,782,420,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,782,420,842 is 5046973260.
Find LCM of 511,782,420,842 with Prime Factorization
| 2 | 511, 782, 420, 842 |
| 7 | 511, 391, 210, 421 |
| 73, 391, 30, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 73 x 391 x 30 x 421 = 5046973260
Therefore, the lowest common multiple of 511,782,420,842 is 5046973260.
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.
511 x 782 x 420 x 842 = 141315251280
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.
511 : 1, 7, 73, 511
782 : 1, 2, 17, 23, 34, 46, 391, 782
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,782,420,842, is 1.
Now, the common factors can be found like this.
511:7x 73
782:2x 17x 23
420:2x 2x 3x 5x 7
842:2x 421
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 7 = 28
Therefore, the value for common factors is 28.
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 = 141315251280/(1x28)
LCM = 141315251280/28
LCM = 5046973260
Thus, we can understand that the LCM of 511,782,420,842 is 5046973260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 782, 420, 842
1. What is the LCM of 511, 782, 420, 842?
Answer: LCM of 511, 782, 420, 842 is 5046973260.
2. How to calculate the LCM of 511, 782, 420, 842?
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 511, 782, 420, 842.
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}.