Given numbers are 242,289,848,689,110

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

The LCM of 242,289,848,689,110 is 1927491280.

Find LCM of 242,289,848,689,110 with Prime Factorization

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

2 x 11 x 53 x 11 x 289 x 8 x 13 x 5 = 1927491280

Therefore, the lowest common multiple of 242,289,848,689,110 is 1927491280.

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 289 x 848 x 689 x 110 = 4494909664960

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

289 : 1, 17, 289

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

689 : 1, 13, 53, 689

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,289,848,689,110, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

289:17x 17

848:2x 2x 2x 2x 53

689:13x 53

110:2x 5x 11

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 11x 53 = 2332

Therefore, the value for common factors is 2332.

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 = 4494909664960/(1x2332)

LCM = 4494909664960/2332

LCM = 1927491280

Thus, we can understand that the LCM of 242,289,848,689,110 is 1927491280.

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

• LCM of 161, 351, 387, 760, 767
• LCM of 972, 287, 936, 717, 859
• LCM of 732, 542, 314, 995, 316
• LCM of 151, 242, 497, 907, 120
• LCM of 303, 187, 846, 919, 159

1. What is the LCM of 242, 289, 848, 689, 110?

Answer: LCM of 242, 289, 848, 689, 110 is 1927491280.

2. How to calculate the LCM of 242, 289, 848, 689, 110?

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, 289, 848, 689, 110.

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}.