Find the LCM of 313, 754, 434, 682 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 313, 754, 434, 682. So, keep reading to learn more.
Given numbers are 313,754,434,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,754,434,682 is 563336774.
Find LCM of 313,754,434,682 with Prime Factorization
2 | 313, 754, 434, 682 |
31 | 313, 377, 217, 341 |
313, 377, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 313 x 377 x 7 x 11 = 563336774
Therefore, the lowest common multiple of 313,754,434,682 is 563336774.
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.
313 x 754 x 434 x 682 = 69853759976
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.
313 : 1, 313
754 : 1, 2, 13, 26, 29, 58, 377, 754
434 : 1, 2, 7, 14, 31, 62, 217, 434
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,754,434,682, is 1.
Now, the common factors can be found like this.
313:313
754:2x 13x 29
434:2x 7x 31
682:2x 11x 31
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 31 = 124
Therefore, the value for common factors is 124.
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 = 69853759976/(1x124)
LCM = 69853759976/124
LCM = 563336774
Thus, we can understand that the LCM of 313,754,434,682 is 563336774.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 754, 434, 682?
Answer: LCM of 313, 754, 434, 682 is 563336774.
2. How to calculate the LCM of 313, 754, 434, 682?
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 313, 754, 434, 682.
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}.