Given numbers are 392,302,757,224

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

The LCM of 392,302,757,224 is 179233376.

Find LCM of 392,302,757,224 with Prime Factorization

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

2 x 2 x 2 x 7 x 7 x 151 x 757 x 4 = 179233376

Therefore, the lowest common multiple of 392,302,757,224 is 179233376.

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.

392 x 302 x 757 x 224 = 20074138112

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

302 : 1, 2, 151, 302

757 : 1, 757

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,302,757,224, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

302:2x 151

757:757

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 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 20074138112/(1x112)

LCM = 20074138112/112

LCM = 179233376

Thus, we can understand that the LCM of 392,302,757,224 is 179233376.

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

• LCM of 868, 381, 849, 527
• LCM of 751, 362, 663, 474
• LCM of 208, 496, 301, 178
• LCM of 500, 821, 272, 295
• LCM of 490, 524, 276, 571

1. What is the LCM of 392, 302, 757, 224?

Answer: LCM of 392, 302, 757, 224 is 179233376.

2. How to calculate the LCM of 392, 302, 757, 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 392, 302, 757, 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}.