Given numbers are 494,717,152,228,624

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

The LCM of 494,717,152,228,624 is 2833584.

Find LCM of 494,717,152,228,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 19 x 1 x 239 x 1 x 1 x 2 = 2833584

Therefore, the lowest common multiple of 494,717,152,228,624 is 2833584.

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.

494 x 717 x 152 x 228 x 624 = 7659653594112

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

717 : 1, 3, 239, 717

152 : 1, 2, 4, 8, 19, 38, 76, 152

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,717,152,228,624, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

717:3x 239

152:2x 2x 2x 19

228:2x 2x 3x 19

624:2x 2x 2x 2x 3x 13

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 2x 3x 3x 13x 19x 19 = 2703168

Therefore, the value for common factors is 2703168.

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 = 7659653594112/(1x2703168)

LCM = 7659653594112/2703168

LCM = 2833584

Thus, we can understand that the LCM of 494,717,152,228,624 is 2833584.

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

• LCM of 454, 285, 654, 614, 495
• LCM of 811, 321, 908, 119, 694
• LCM of 781, 940, 159, 619, 397
• LCM of 294, 974, 718, 343, 670
• LCM of 143, 502, 656, 324, 384

1. What is the LCM of 494, 717, 152, 228, 624?

Answer: LCM of 494, 717, 152, 228, 624 is 2833584.

2. How to calculate the LCM of 494, 717, 152, 228, 624?

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 494, 717, 152, 228, 624.

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}.