Find the LCM of 690, 108, 627, 592, 994 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 690, 108, 627, 592, 994. So, keep reading to learn more.
Given numbers are 690,108,627,592,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,108,627,592,994 is 190935193680.
Find LCM of 690,108,627,592,994 with Prime Factorization
2 | 690, 108, 627, 592, 994 |
2 | 345, 54, 627, 296, 497 |
3 | 345, 27, 627, 148, 497 |
115, 9, 209, 148, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 115 x 9 x 209 x 148 x 497 = 190935193680
Therefore, the lowest common multiple of 690,108,627,592,994 is 190935193680.
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.
690 x 108 x 627 x 592 x 994 = 27494667889920
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
627 : 1, 3, 11, 19, 33, 57, 209, 627
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,108,627,592,994, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
108:2x 2x 3x 3x 3
627:3x 11x 19
592:2x 2x 2x 2x 37
994:2x 7x 71
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 27494667889920/(1x144)
LCM = 27494667889920/144
LCM = 190935193680
Thus, we can understand that the LCM of 690,108,627,592,994 is 190935193680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 690, 108, 627, 592, 994?
Answer: LCM of 690, 108, 627, 592, 994 is 190935193680.
2. How to calculate the LCM of 690, 108, 627, 592, 994?
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 690, 108, 627, 592, 994.
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}.