LCM of 782, 506, 548, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 506, 548, 462 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 782, 506, 548, 462. So, keep reading to learn more.
Given numbers are 782,506,548,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,506,548,462 is 49495908.
Find LCM of 782,506,548,462 with Prime Factorization
| 2 | 782, 506, 548, 462 |
| 11 | 391, 253, 274, 231 |
| 23 | 391, 23, 274, 21 |
| 17, 1, 274, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 17 x 1 x 274 x 21 = 49495908
Therefore, the lowest common multiple of 782,506,548,462 is 49495908.
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.
782 x 506 x 548 x 462 = 100179717792
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
506 : 1, 2, 11, 22, 23, 46, 253, 506
548 : 1, 2, 4, 137, 274, 548
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,506,548,462, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
506:2x 11x 23
548:2x 2x 137
462:2x 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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 100179717792/(2x1012)
LCM = 100179717792/2024
LCM = 49495908
Thus, we can understand that the LCM of 782,506,548,462 is 49495908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 506, 548, 462
1. What is the LCM of 782, 506, 548, 462?
Answer: LCM of 782, 506, 548, 462 is 49495908.
2. How to calculate the LCM of 782, 506, 548, 462?
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 782, 506, 548, 462.
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}.