Find the LCM of 328, 937, 615, 828 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 328, 937, 615, 828. So, keep reading to learn more.
Given numbers are 328,937,615,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,937,615,828 is 318092760.
Find LCM of 328,937,615,828 with Prime Factorization
2 | 328, 937, 615, 828 |
2 | 164, 937, 615, 414 |
3 | 82, 937, 615, 207 |
41 | 82, 937, 205, 69 |
2, 937, 5, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 2 x 937 x 5 x 69 = 318092760
Therefore, the lowest common multiple of 328,937,615,828 is 318092760.
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.
328 x 937 x 615 x 828 = 156501637920
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
937 : 1, 937
615 : 1, 3, 5, 15, 41, 123, 205, 615
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,937,615,828, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
937:937
615:3x 5x 41
828:2x 2x 3x 3x 23
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 41 = 492
Therefore, the value for common factors is 492.
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 = 156501637920/(1x492)
LCM = 156501637920/492
LCM = 318092760
Thus, we can understand that the LCM of 328,937,615,828 is 318092760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 937, 615, 828?
Answer: LCM of 328, 937, 615, 828 is 318092760.
2. How to calculate the LCM of 328, 937, 615, 828?
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 328, 937, 615, 828.
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}.