Given numbers are 224,565,678

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

The LCM of 224,565,678 is 379680.

Find LCM of 224,565,678 with Prime Factorization

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

2 x 113 x 112 x 5 x 3 = 379680

Therefore, the lowest common multiple of 224,565,678 is 379680.

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.

224 x 565 x 678 = 85807680

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.

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

565 : 1, 5, 113, 565

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,565,678, is 1.

Now, the common factors can be found like this.

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

565:5x 113

678:2x 3x 113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 85807680/(1x226)

LCM = 85807680/226

LCM = 379680

Thus, we can understand that the LCM of 224,565,678 is 379680.

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

• LCM of 746, 222, 207
• LCM of 820, 915, 188
• LCM of 326, 397, 229
• LCM of 382, 960, 495
• LCM of 426, 785, 466

1. What is the LCM of 224, 565, 678?

Answer: LCM of 224, 565, 678 is 379680.

2. How to calculate the LCM of 224, 565, 678?

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 224, 565, 678.

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}.