Find the LCM of 319, 493, 663, 626 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 319, 493, 663, 626. So, keep reading to learn more.
Given numbers are 319,493,663,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,493,663,626 is 132397122.
Find LCM of 319,493,663,626 with Prime Factorization
17 | 319, 493, 663, 626 |
29 | 319, 29, 39, 626 |
11, 1, 39, 626 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 11 x 1 x 39 x 626 = 132397122
Therefore, the lowest common multiple of 319,493,663,626 is 132397122.
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.
319 x 493 x 663 x 626 = 65271781146
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.
319 : 1, 11, 29, 319
493 : 1, 17, 29, 493
663 : 1, 3, 13, 17, 39, 51, 221, 663
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,493,663,626, is 1.
Now, the common factors can be found like this.
319:11x 29
493:17x 29
663:3x 13x 17
626:2x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29 = 493
Therefore, the value for common factors is 493.
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 = 65271781146/(1x493)
LCM = 65271781146/493
LCM = 132397122
Thus, we can understand that the LCM of 319,493,663,626 is 132397122.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 493, 663, 626?
Answer: LCM of 319, 493, 663, 626 is 132397122.
2. How to calculate the LCM of 319, 493, 663, 626?
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 319, 493, 663, 626.
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}.