LCM of 782, 104, 442, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 104, 442, 676 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, 104, 442, 676. So, keep reading to learn more.
Given numbers are 782,104,442,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,104,442,676 is 528632.
Find LCM of 782,104,442,676 with Prime Factorization
| 2 | 782, 104, 442, 676 |
| 2 | 391, 52, 221, 338 |
| 13 | 391, 26, 221, 169 |
| 17 | 391, 2, 17, 13 |
| 23, 2, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 23 x 2 x 1 x 13 = 528632
Therefore, the lowest common multiple of 782,104,442,676 is 528632.
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 104 x 442 x 676 = 24300155776
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
442 : 1, 2, 13, 17, 26, 34, 221, 442
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,104,442,676, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
104:2x 2x 2x 13
442:2x 13x 17
676:2x 2x 13x 13
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 13x 13x 17 = 22984
Therefore, the value for common factors is 22984.
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 = 24300155776/(2x22984)
LCM = 24300155776/45968
LCM = 528632
Thus, we can understand that the LCM of 782,104,442,676 is 528632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 104, 442, 676
1. What is the LCM of 782, 104, 442, 676?
Answer: LCM of 782, 104, 442, 676 is 528632.
2. How to calculate the LCM of 782, 104, 442, 676?
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, 104, 442, 676.
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}.