Find the LCM of 304, 617, 893, 742 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 304, 617, 893, 742. So, keep reading to learn more.
Given numbers are 304,617,893,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,617,893,742 is 3270623216.
Find LCM of 304,617,893,742 with Prime Factorization
2 | 304, 617, 893, 742 |
19 | 152, 617, 893, 371 |
8, 617, 47, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 8 x 617 x 47 x 371 = 3270623216
Therefore, the lowest common multiple of 304,617,893,742 is 3270623216.
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.
304 x 617 x 893 x 742 = 124283682208
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
617 : 1, 617
893 : 1, 19, 47, 893
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,617,893,742, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
617:617
893:19x 47
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 124283682208/(1x38)
LCM = 124283682208/38
LCM = 3270623216
Thus, we can understand that the LCM of 304,617,893,742 is 3270623216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 617, 893, 742?
Answer: LCM of 304, 617, 893, 742 is 3270623216.
2. How to calculate the LCM of 304, 617, 893, 742?
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 304, 617, 893, 742.
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}.