Find the LCM of 322, 634, 138, 513 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 322, 634, 138, 513. So, keep reading to learn more.
Given numbers are 322,634,138,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,634,138,513 is 52363962.
Find LCM of 322,634,138,513 with Prime Factorization
2 | 322, 634, 138, 513 |
3 | 161, 317, 69, 513 |
23 | 161, 317, 23, 171 |
7, 317, 1, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 317 x 1 x 171 = 52363962
Therefore, the lowest common multiple of 322,634,138,513 is 52363962.
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.
322 x 634 x 138 x 513 = 14452453512
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
634 : 1, 2, 317, 634
138 : 1, 2, 3, 6, 23, 46, 69, 138
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,634,138,513, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
634:2x 317
138:2x 3x 23
513:3x 3x 3x 19
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 23 = 276
Therefore, the value for common factors is 276.
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 = 14452453512/(1x276)
LCM = 14452453512/276
LCM = 52363962
Thus, we can understand that the LCM of 322,634,138,513 is 52363962.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 634, 138, 513?
Answer: LCM of 322, 634, 138, 513 is 52363962.
2. How to calculate the LCM of 322, 634, 138, 513?
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 322, 634, 138, 513.
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}.