Find the LCM of 369, 973, 862, 683, 975 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 369, 973, 862, 683, 975. So, keep reading to learn more.
Given numbers are 369,973,862,683,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,973,862,683,975 is 68699019220650.
Find LCM of 369,973,862,683,975 with Prime Factorization
3 | 369, 973, 862, 683, 975 |
123, 973, 862, 683, 325 |
Multiply the prime numbers at the bottom and the left side.
3 x 123 x 973 x 862 x 683 x 325 = 68699019220650
Therefore, the lowest common multiple of 369,973,862,683,975 is 68699019220650.
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.
369 x 973 x 862 x 683 x 975 = 206097057661950
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.
369 : 1, 3, 9, 41, 123, 369
973 : 1, 7, 139, 973
862 : 1, 2, 431, 862
683 : 1, 683
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,973,862,683,975, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
973:7x 139
862:2x 431
683:683
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 206097057661950/(1x3)
LCM = 206097057661950/3
LCM = 68699019220650
Thus, we can understand that the LCM of 369,973,862,683,975 is 68699019220650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 369, 973, 862, 683, 975?
Answer: LCM of 369, 973, 862, 683, 975 is 68699019220650.
2. How to calculate the LCM of 369, 973, 862, 683, 975?
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 369, 973, 862, 683, 975.
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}.