Given numbers are 102,311,364,974

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

The LCM of 102,311,364,974 is 2811647748.

Find LCM of 102,311,364,974 with Prime Factorization

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

2 x 51 x 311 x 182 x 487 = 2811647748

Therefore, the lowest common multiple of 102,311,364,974 is 2811647748.

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.

102 x 311 x 364 x 974 = 11246590992

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.

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

311 : 1, 311

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,311,364,974, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

311:311

364:2x 2x 7x 13

974:2x 487

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 = 11246590992/(1x4)

LCM = 11246590992/4

LCM = 2811647748

Thus, we can understand that the LCM of 102,311,364,974 is 2811647748.

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

• LCM of 971, 264, 561, 906
• LCM of 683, 589, 675, 637
• LCM of 413, 499, 249, 586
• LCM of 921, 262, 433, 998
• LCM of 808, 643, 498, 554

1. What is the LCM of 102, 311, 364, 974?

Answer: LCM of 102, 311, 364, 974 is 2811647748.

2. How to calculate the LCM of 102, 311, 364, 974?

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 102, 311, 364, 974.

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}.