Given numbers are 596,628,213,974

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

The LCM of 596,628,213,974 is 9706317132.

Find LCM of 596,628,213,974 with Prime Factorization

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

2 x 2 x 149 x 157 x 213 x 487 = 9706317132

Therefore, the lowest common multiple of 596,628,213,974 is 9706317132.

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.

596 x 628 x 213 x 974 = 77650537056

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.

596 : 1, 2, 4, 149, 298, 596

628 : 1, 2, 4, 157, 314, 628

213 : 1, 3, 71, 213

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,628,213,974, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

628:2x 2x 157

213:3x 71

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 77650537056/(1x8)

LCM = 77650537056/8

LCM = 9706317132

Thus, we can understand that the LCM of 596,628,213,974 is 9706317132.

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

• LCM of 673, 315, 472, 252
• LCM of 686, 998, 442, 138
• LCM of 715, 579, 423, 849
• LCM of 268, 524, 351, 812
• LCM of 269, 304, 483, 153

1. What is the LCM of 596, 628, 213, 974?

Answer: LCM of 596, 628, 213, 974 is 9706317132.

2. How to calculate the LCM of 596, 628, 213, 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 596, 628, 213, 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}.