Given numbers are 692,438,224,448

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

The LCM of 692,438,224,448 is 16973376.

Find LCM of 692,438,224,448 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 7 x 173 x 219 x 1 x 2 = 16973376

Therefore, the lowest common multiple of 692,438,224,448 is 16973376.

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.

692 x 438 x 224 x 448 = 30416289792

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.

692 : 1, 2, 4, 173, 346, 692

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,438,224,448, is 2.

Now, the common factors can be found like this.

692:2x 2x 173

438:2x 3x 73

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

448:2x 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 2x 2x 2x 2x 2x 2x 7 = 896

Therefore, the value for common factors is 896.

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 = 30416289792/(2x896)

LCM = 30416289792/1792

LCM = 16973376

Thus, we can understand that the LCM of 692,438,224,448 is 16973376.

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

• LCM of 823, 541, 460, 249
• LCM of 174, 858, 731, 977
• LCM of 557, 928, 741, 468
• LCM of 205, 778, 300, 833
• LCM of 381, 106, 520, 713

1. What is the LCM of 692, 438, 224, 448?

Answer: LCM of 692, 438, 224, 448 is 16973376.

2. How to calculate the LCM of 692, 438, 224, 448?

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 692, 438, 224, 448.

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}.