Given numbers are 47,10,10,30,914

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 47,10,10,30,914 is 644370.

Find LCM of 47,10,10,30,914 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 47 x 1 x 1 x 3 x 457 = 644370

Therefore, the lowest common multiple of 47,10,10,30,914 is 644370.

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.

47 x 10 x 10 x 30 x 914 = 128874000

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.

47 : 1, 47

10 : 1, 2, 5, 10

10 : 1, 2, 5, 10

30 : 1, 2, 3, 5, 6, 10, 15, 30

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 47,10,10,30,914, is 1.

Now, the common factors can be found like this.

47:47

10:2x 5

10:2x 5

30:2x 3x 5

914:2x 457

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 128874000/(1x200)

LCM = 128874000/200

LCM = 644370

Thus, we can understand that the LCM of 47,10,10,30,914 is 644370.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 57, 10, 93, 94, 832
• LCM of 88, 37, 52, 34, 613
• LCM of 78, 17, 16, 36, 984
• LCM of 42, 33, 99, 90, 467
• LCM of 35, 61, 92, 67, 338

1. What is the LCM of 47, 10, 10, 30, 914?

Answer: LCM of 47, 10, 10, 30, 914 is 644370.

2. How to calculate the LCM of 47, 10, 10, 30, 914?

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 47, 10, 10, 30, 914.

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}.