LCM of 914, 629, 690, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 629, 690, 782 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 914, 629, 690, 782. So, keep reading to learn more.
Given numbers are 914,629,690,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,629,690,782 is 198342570.
Find LCM of 914,629,690,782 with Prime Factorization
| 2 | 914, 629, 690, 782 |
| 17 | 457, 629, 345, 391 |
| 23 | 457, 37, 345, 23 |
| 457, 37, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 457 x 37 x 15 x 1 = 198342570
Therefore, the lowest common multiple of 914,629,690,782 is 198342570.
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.
914 x 629 x 690 x 782 = 310207779480
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.
914 : 1, 2, 457, 914
629 : 1, 17, 37, 629
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,629,690,782, is 1.
Now, the common factors can be found like this.
914:2x 457
629:17x 37
690:2x 3x 5x 23
782:2x 17x 23
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 310207779480/(1x1564)
LCM = 310207779480/1564
LCM = 198342570
Thus, we can understand that the LCM of 914,629,690,782 is 198342570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 629, 690, 782
1. What is the LCM of 914, 629, 690, 782?
Answer: LCM of 914, 629, 690, 782 is 198342570.
2. How to calculate the LCM of 914, 629, 690, 782?
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 914, 629, 690, 782.
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}.