Find the LCM of 628, 806, 763, 493 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 628, 806, 763, 493. So, keep reading to learn more.
Given numbers are 628,806,763,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,806,763,493 is 95199824356.
Find LCM of 628,806,763,493 with Prime Factorization
2 | 628, 806, 763, 493 |
314, 403, 763, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 314 x 403 x 763 x 493 = 95199824356
Therefore, the lowest common multiple of 628,806,763,493 is 95199824356.
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.
628 x 806 x 763 x 493 = 190399648712
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.
628 : 1, 2, 4, 157, 314, 628
806 : 1, 2, 13, 26, 31, 62, 403, 806
763 : 1, 7, 109, 763
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,806,763,493, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
806:2x 13x 31
763:7x 109
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 190399648712/(1x2)
LCM = 190399648712/2
LCM = 95199824356
Thus, we can understand that the LCM of 628,806,763,493 is 95199824356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 628, 806, 763, 493?
Answer: LCM of 628, 806, 763, 493 is 95199824356.
2. How to calculate the LCM of 628, 806, 763, 493?
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 628, 806, 763, 493.
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}.