LCM of 189, 616, 700, 862, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 616, 700, 862, 914 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 189, 616, 700, 862, 914. So, keep reading to learn more.
Given numbers are 189,616,700,862,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,616,700,862,914 is 81898878600.
Find LCM of 189,616,700,862,914 with Prime Factorization
| 2 | 189, 616, 700, 862, 914 |
| 2 | 189, 308, 350, 431, 457 |
| 7 | 189, 154, 175, 431, 457 |
| 27, 22, 25, 431, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 27 x 22 x 25 x 431 x 457 = 81898878600
Therefore, the lowest common multiple of 189,616,700,862,914 is 81898878600.
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.
189 x 616 x 700 x 862 x 914 = 64208720822400
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
862 : 1, 2, 431, 862
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,616,700,862,914, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
616:2x 2x 2x 7x 11
700:2x 2x 5x 5x 7
862:2x 431
914:2x 457
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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 64208720822400/(1x784)
LCM = 64208720822400/784
LCM = 81898878600
Thus, we can understand that the LCM of 189,616,700,862,914 is 81898878600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 189, 616, 700, 862, 914
1. What is the LCM of 189, 616, 700, 862, 914?
Answer: LCM of 189, 616, 700, 862, 914 is 81898878600.
2. How to calculate the LCM of 189, 616, 700, 862, 914?
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 189, 616, 700, 862, 914.
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}.