Given numbers are 1936,9214

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

The LCM of 1936,9214 is 8919152.

Find LCM of 1936,9214 with Prime Factorization

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

2 x 968 x 4607 = 8919152

Therefore, the lowest common multiple of 1936,9214 is 8919152.

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.

1936 x 9214 = 17838304

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.

1936 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

9214 : 1, 2, 17, 34, 271, 542, 4607, 9214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1936,9214, is 2.

Now, the common factors can be found like this.

1936:2x 2x 2x 2x 11x 11

9214:2x 17x 271

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

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 = 17838304/(2x1)

LCM = 17838304/2

LCM = 8919152

Thus, we can understand that the LCM of 1936,9214 is 8919152.

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

• LCM of 4754, 1998
• LCM of 1330, 8643
• LCM of 9264, 1427
• LCM of 3674, 2430
• LCM of 8440, 4442

1. What is the LCM of 1936, 9214?

Answer: LCM of 1936, 9214 is 8919152.

2. How to calculate the LCM of 1936, 9214?

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 1936, 9214.

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}.