Given numbers are 974,574,589,428

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

The LCM of 974,574,589,428 is 35234646748.

Find LCM of 974,574,589,428 with Prime Factorization

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

2 x 487 x 287 x 589 x 214 = 35234646748

Therefore, the lowest common multiple of 974,574,589,428 is 35234646748.

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.

974 x 574 x 589 x 428 = 140938586992

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.

974 : 1, 2, 487, 974

574 : 1, 2, 7, 14, 41, 82, 287, 574

589 : 1, 19, 31, 589

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,574,589,428, is 1.

Now, the common factors can be found like this.

974:2x 487

574:2x 7x 41

589:19x 31

428:2x 2x 107

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 = 140938586992/(1x4)

LCM = 140938586992/4

LCM = 35234646748

Thus, we can understand that the LCM of 974,574,589,428 is 35234646748.

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

• LCM of 832, 606, 676, 241
• LCM of 277, 865, 169, 397
• LCM of 262, 231, 600, 892
• LCM of 459, 568, 927, 605
• LCM of 462, 410, 946, 105

1. What is the LCM of 974, 574, 589, 428?

Answer: LCM of 974, 574, 589, 428 is 35234646748.

2. How to calculate the LCM of 974, 574, 589, 428?

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 974, 574, 589, 428.

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}.