Given numbers are 242,303,822,624

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

The LCM of 242,303,822,624 is 1044748848.

Find LCM of 242,303,822,624 with Prime Factorization

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

2 x 3 x 121 x 101 x 137 x 104 = 1044748848

Therefore, the lowest common multiple of 242,303,822,624 is 1044748848.

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.

242 x 303 x 822 x 624 = 37610958528

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.

242 : 1, 2, 11, 22, 121, 242

303 : 1, 3, 101, 303

822 : 1, 2, 3, 6, 137, 274, 411, 822

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 242,303,822,624, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

303:3x 101

822:2x 3x 137

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 37610958528/(1x36)

LCM = 37610958528/36

LCM = 1044748848

Thus, we can understand that the LCM of 242,303,822,624 is 1044748848.

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

• LCM of 447, 984, 715, 621
• LCM of 854, 359, 791, 663
• LCM of 748, 861, 566, 522
• LCM of 494, 511, 897, 655
• LCM of 363, 917, 980, 393

1. What is the LCM of 242, 303, 822, 624?

Answer: LCM of 242, 303, 822, 624 is 1044748848.

2. How to calculate the LCM of 242, 303, 822, 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 242, 303, 822, 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}.