LCM of 782, 546, 338, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 546, 338, 877 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, 546, 338, 877. So, keep reading to learn more.
Given numbers are 782,546,338,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,546,338,877 is 2433953886.
Find LCM of 782,546,338,877 with Prime Factorization
| 2 | 782, 546, 338, 877 |
| 13 | 391, 273, 169, 877 |
| 391, 21, 13, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 391 x 21 x 13 x 877 = 2433953886
Therefore, the lowest common multiple of 782,546,338,877 is 2433953886.
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 546 x 338 x 877 = 126565602072
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
338 : 1, 2, 13, 26, 169, 338
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,546,338,877, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
546:2x 3x 7x 13
338:2x 13x 13
877:877
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 13 = 52
Therefore, the value for common factors is 52.
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 = 126565602072/(1x52)
LCM = 126565602072/52
LCM = 2433953886
Thus, we can understand that the LCM of 782,546,338,877 is 2433953886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 546, 338, 877
1. What is the LCM of 782, 546, 338, 877?
Answer: LCM of 782, 546, 338, 877 is 2433953886.
2. How to calculate the LCM of 782, 546, 338, 877?
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, 546, 338, 877.
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}.