Find the LCM of 627, 994, 702, 892, 634 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 627, 994, 702, 892, 634. So, keep reading to learn more.
Given numbers are 627,994,702,892,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,994,702,892,634 is 10309412285172.
Find LCM of 627,994,702,892,634 with Prime Factorization
2 | 627, 994, 702, 892, 634 |
3 | 627, 497, 351, 446, 317 |
209, 497, 117, 446, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 209 x 497 x 117 x 446 x 317 = 10309412285172
Therefore, the lowest common multiple of 627,994,702,892,634 is 10309412285172.
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.
627 x 994 x 702 x 892 x 634 = 247425894844128
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
994 : 1, 2, 7, 14, 71, 142, 497, 994
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
892 : 1, 2, 4, 223, 446, 892
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,994,702,892,634, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
994:2x 7x 71
702:2x 3x 3x 3x 13
892:2x 2x 223
634:2x 317
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 3 = 24
Therefore, the value for common factors is 24.
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 = 247425894844128/(1x24)
LCM = 247425894844128/24
LCM = 10309412285172
Thus, we can understand that the LCM of 627,994,702,892,634 is 10309412285172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 994, 702, 892, 634?
Answer: LCM of 627, 994, 702, 892, 634 is 10309412285172.
2. How to calculate the LCM of 627, 994, 702, 892, 634?
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 627, 994, 702, 892, 634.
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}.