Given numbers are 506,428,224

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

The LCM of 506,428,224 is 6063904.

Find LCM of 506,428,224 with Prime Factorization

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

2 x 2 x 253 x 107 x 56 = 6063904

Therefore, the lowest common multiple of 506,428,224 is 6063904.

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.

506 x 428 x 224 = 48511232

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

428 : 1, 2, 4, 107, 214, 428

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,428,224, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

428:2x 2x 107

224:2x 2x 2x 2x 2x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 48511232/(2x4)

LCM = 48511232/8

LCM = 6063904

Thus, we can understand that the LCM of 506,428,224 is 6063904.

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

• LCM of 168, 314, 134
• LCM of 797, 248, 546
• LCM of 701, 480, 315
• LCM of 204, 535, 161
• LCM of 266, 292, 512

1. What is the LCM of 506, 428, 224?

Answer: LCM of 506, 428, 224 is 6063904.

2. How to calculate the LCM of 506, 428, 224?

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 506, 428, 224.

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}.