Given numbers are 402,286,311,74

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

The LCM of 402,286,311,74 is 661491402.

Find LCM of 402,286,311,74 with Prime Factorization

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

2 x 201 x 143 x 311 x 37 = 661491402

Therefore, the lowest common multiple of 402,286,311,74 is 661491402.

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.

402 x 286 x 311 x 74 = 2645965608

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

286 : 1, 2, 11, 13, 22, 26, 143, 286

311 : 1, 311

74 : 1, 2, 37, 74

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,286,311,74, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

286:2x 11x 13

311:311

74:2x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2645965608/(1x4)

LCM = 2645965608/4

LCM = 661491402

Thus, we can understand that the LCM of 402,286,311,74 is 661491402.

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

• LCM of 470, 429, 390, 95
• LCM of 284, 306, 106, 87
• LCM of 695, 453, 416, 11
• LCM of 752, 576, 804, 36
• LCM of 960, 770, 916, 76

1. What is the LCM of 402, 286, 311, 74?

Answer: LCM of 402, 286, 311, 74 is 661491402.

2. How to calculate the LCM of 402, 286, 311, 74?

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 402, 286, 311, 74.

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}.