Given numbers are 242,720,318,244,746

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

The LCM of 242,720,318,244,746 is 105058792080.

Find LCM of 242,720,318,244,746 with Prime Factorization

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

2 x 2 x 3 x 121 x 60 x 53 x 61 x 373 = 105058792080

Therefore, the lowest common multiple of 242,720,318,244,746 is 105058792080.

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 720 x 318 x 244 x 746 = 10085644039680

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

318 : 1, 2, 3, 6, 53, 106, 159, 318

244 : 1, 2, 4, 61, 122, 244

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,720,318,244,746, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

720:2x 2x 2x 2x 3x 3x 5

318:2x 3x 53

244:2x 2x 61

746:2x 373

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 3 = 48

Therefore, the value for common factors is 48.

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 = 10085644039680/(2x48)

LCM = 10085644039680/96

LCM = 105058792080

Thus, we can understand that the LCM of 242,720,318,244,746 is 105058792080.

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

• LCM of 785, 638, 382, 380, 979
• LCM of 957, 542, 189, 314, 822
• LCM of 194, 382, 589, 636, 310
• LCM of 211, 345, 507, 185, 973
• LCM of 269, 382, 567, 668, 380

1. What is the LCM of 242, 720, 318, 244, 746?

Answer: LCM of 242, 720, 318, 244, 746 is 105058792080.

2. How to calculate the LCM of 242, 720, 318, 244, 746?

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, 720, 318, 244, 746.

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}.