Find the LCM of 102, 973, 400, 490, 136 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 102, 973, 400, 490, 136. So, keep reading to learn more.
Given numbers are 102,973,400,490,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,973,400,490,136 is 138944400.
Find LCM of 102,973,400,490,136 with Prime Factorization
2 | 102, 973, 400, 490, 136 |
2 | 51, 973, 200, 245, 68 |
2 | 51, 973, 100, 245, 34 |
5 | 51, 973, 50, 245, 17 |
7 | 51, 973, 10, 49, 17 |
17 | 51, 139, 10, 7, 17 |
3, 139, 10, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 17 x 3 x 139 x 10 x 7 x 1 = 138944400
Therefore, the lowest common multiple of 102,973,400,490,136 is 138944400.
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.
102 x 973 x 400 x 490 x 136 = 2645501376000
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
973 : 1, 7, 139, 973
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,973,400,490,136, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
973:7x 139
400:2x 2x 2x 2x 5x 5
490:2x 5x 7x 7
136:2x 2x 2x 17
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 2x 5x 7x 17 = 19040
Therefore, the value for common factors is 19040.
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 = 2645501376000/(1x19040)
LCM = 2645501376000/19040
LCM = 138944400
Thus, we can understand that the LCM of 102,973,400,490,136 is 138944400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 102, 973, 400, 490, 136?
Answer: LCM of 102, 973, 400, 490, 136 is 138944400.
2. How to calculate the LCM of 102, 973, 400, 490, 136?
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 102, 973, 400, 490, 136.
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}.