Given numbers are 948,373,624,934,828

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

The LCM of 948,373,624,934,828 is 592497447984.

Find LCM of 948,373,624,934,828 with Prime Factorization

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

2 x 2 x 3 x 79 x 373 x 52 x 467 x 69 = 592497447984

Therefore, the lowest common multiple of 948,373,624,934,828 is 592497447984.

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.

948 x 373 x 624 x 934 x 828 = 170639265019392

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

373 : 1, 373

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

934 : 1, 2, 467, 934

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,373,624,934,828, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

373:373

624:2x 2x 2x 2x 3x 13

934:2x 467

828:2x 2x 3x 3x 23

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 170639265019392/(1x288)

LCM = 170639265019392/288

LCM = 592497447984

Thus, we can understand that the LCM of 948,373,624,934,828 is 592497447984.

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

• LCM of 445, 538, 123, 807, 304
• LCM of 941, 682, 335, 154, 395
• LCM of 757, 112, 986, 465, 583
• LCM of 960, 642, 146, 477, 724
• LCM of 494, 620, 432, 370, 153

1. What is the LCM of 948, 373, 624, 934, 828?

Answer: LCM of 948, 373, 624, 934, 828 is 592497447984.

2. How to calculate the LCM of 948, 373, 624, 934, 828?

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 948, 373, 624, 934, 828.

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}.