Given numbers are 583,414,467,742

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

The LCM of 583,414,467,742 is 789012378.

Find LCM of 583,414,467,742 with Prime Factorization

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

2 x 53 x 11 x 207 x 467 x 7 = 789012378

Therefore, the lowest common multiple of 583,414,467,742 is 789012378.

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.

583 x 414 x 467 x 742 = 83635312068

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.

583 : 1, 11, 53, 583

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

467 : 1, 467

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,414,467,742, is 1.

Now, the common factors can be found like this.

583:11x 53

414:2x 3x 3x 23

467:467

742:2x 7x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 83635312068/(1x106)

LCM = 83635312068/106

LCM = 789012378

Thus, we can understand that the LCM of 583,414,467,742 is 789012378.

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

• LCM of 348, 795, 611, 274
• LCM of 219, 495, 717, 259
• LCM of 711, 359, 558, 115
• LCM of 926, 433, 537, 505
• LCM of 496, 996, 150, 958

1. What is the LCM of 583, 414, 467, 742?

Answer: LCM of 583, 414, 467, 742 is 789012378.

2. How to calculate the LCM of 583, 414, 467, 742?

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 583, 414, 467, 742.

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}.