Given numbers are 398,192,102,733

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

The LCM of 398,192,102,733 is 476109888.

Find LCM of 398,192,102,733 with Prime Factorization

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

2 x 3 x 199 x 32 x 17 x 733 = 476109888

Therefore, the lowest common multiple of 398,192,102,733 is 476109888.

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.

398 x 192 x 102 x 733 = 5713318656

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.

398 : 1, 2, 199, 398

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

102 : 1, 2, 3, 6, 17, 34, 51, 102

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,192,102,733, is 1.

Now, the common factors can be found like this.

398:2x 199

192:2x 2x 2x 2x 2x 2x 3

102:2x 3x 17

733:733

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5713318656/(1x12)

LCM = 5713318656/12

LCM = 476109888

Thus, we can understand that the LCM of 398,192,102,733 is 476109888.

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

• LCM of 674, 674, 979, 782
• LCM of 797, 566, 922, 957
• LCM of 559, 663, 775, 485
• LCM of 425, 404, 846, 661
• LCM of 617, 147, 669, 545

1. What is the LCM of 398, 192, 102, 733?

Answer: LCM of 398, 192, 102, 733 is 476109888.

2. How to calculate the LCM of 398, 192, 102, 733?

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 398, 192, 102, 733.

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}.