Given numbers are 596,224,476,506,745

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

The LCM of 596,224,476,506,745 is 717750880.

Find LCM of 596,224,476,506,745 with Prime Factorization

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

2 x 2 x 7 x 149 x 1 x 8 x 17 x 253 x 5 = 717750880

Therefore, the lowest common multiple of 596,224,476,506,745 is 717750880.

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 224 x 476 x 506 x 745 = 23955653370880

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

506 : 1, 2, 11, 22, 23, 46, 253, 506

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,224,476,506,745, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

224:2x 2x 2x 2x 2x 7

476:2x 2x 7x 17

506:2x 11x 23

745:5x 149

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 2x 2x 2x 7x 149 = 33376

Therefore, the value for common factors is 33376.

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 = 23955653370880/(1x33376)

LCM = 23955653370880/33376

LCM = 717750880

Thus, we can understand that the LCM of 596,224,476,506,745 is 717750880.

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

• LCM of 268, 359, 266, 760, 248
• LCM of 160, 970, 309, 961, 144
• LCM of 155, 435, 373, 989, 749
• LCM of 289, 890, 285, 387, 600
• LCM of 524, 123, 667, 748, 185

1. What is the LCM of 596, 224, 476, 506, 745?

Answer: LCM of 596, 224, 476, 506, 745 is 717750880.

2. How to calculate the LCM of 596, 224, 476, 506, 745?

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, 224, 476, 506, 745.

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}.