Find the LCM of 103, 429, 274, 852, 642 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 103, 429, 274, 852, 642. So, keep reading to learn more.
Given numbers are 103,429,274,852,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,429,274,852,642 is 183957374172.
Find LCM of 103,429,274,852,642 with Prime Factorization
2 | 103, 429, 274, 852, 642 |
3 | 103, 429, 137, 426, 321 |
103, 143, 137, 142, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 143 x 137 x 142 x 107 = 183957374172
Therefore, the lowest common multiple of 103,429,274,852,642 is 183957374172.
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.
103 x 429 x 274 x 852 x 642 = 6622465470192
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.
103 : 1, 103
429 : 1, 3, 11, 13, 33, 39, 143, 429
274 : 1, 2, 137, 274
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,429,274,852,642, is 1.
Now, the common factors can be found like this.
103:103
429:3x 11x 13
274:2x 137
852:2x 2x 3x 71
642:2x 3x 107
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 6622465470192/(1x36)
LCM = 6622465470192/36
LCM = 183957374172
Thus, we can understand that the LCM of 103,429,274,852,642 is 183957374172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 429, 274, 852, 642?
Answer: LCM of 103, 429, 274, 852, 642 is 183957374172.
2. How to calculate the LCM of 103, 429, 274, 852, 642?
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 103, 429, 274, 852, 642.
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}.