Find the LCM of 369, 690, 869, 920, 103 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, 690, 869, 920, 103. So, keep reading to learn more.
Given numbers are 369,690,869,920,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,690,869,920,103 is 30385836360.
Find LCM of 369,690,869,920,103 with Prime Factorization
2 | 369, 690, 869, 920, 103 |
3 | 369, 345, 869, 460, 103 |
5 | 123, 115, 869, 460, 103 |
23 | 123, 23, 869, 92, 103 |
123, 1, 869, 4, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 123 x 1 x 869 x 4 x 103 = 30385836360
Therefore, the lowest common multiple of 369,690,869,920,103 is 30385836360.
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 690 x 869 x 920 x 103 = 20966227088400
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
869 : 1, 11, 79, 869
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,690,869,920,103, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
690:2x 3x 5x 23
869:11x 79
920:2x 2x 2x 5x 23
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 20966227088400/(1x690)
LCM = 20966227088400/690
LCM = 30385836360
Thus, we can understand that the LCM of 369,690,869,920,103 is 30385836360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 369, 690, 869, 920, 103?
Answer: LCM of 369, 690, 869, 920, 103 is 30385836360.
2. How to calculate the LCM of 369, 690, 869, 920, 103?
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, 690, 869, 920, 103.
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}.