Given numbers are 242,273,528,634,189

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

The LCM of 242,273,528,634,189 is 1507890384.

Find LCM of 242,273,528,634,189 with Prime Factorization

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

2 x 3 x 7 x 11 x 11 x 13 x 8 x 317 x 9 = 1507890384

Therefore, the lowest common multiple of 242,273,528,634,189 is 1507890384.

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 273 x 528 x 634 x 189 = 4179872144448

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

634 : 1, 2, 317, 634

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,273,528,634,189, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

273:3x 7x 13

528:2x 2x 2x 2x 3x 11

634:2x 317

189:3x 3x 3x 7

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 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 4179872144448/(1x2772)

LCM = 4179872144448/2772

LCM = 1507890384

Thus, we can understand that the LCM of 242,273,528,634,189 is 1507890384.

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

• LCM of 591, 895, 847, 584, 357
• LCM of 307, 809, 327, 292, 677
• LCM of 399, 532, 295, 633, 560
• LCM of 106, 747, 440, 520, 411
• LCM of 771, 784, 401, 214, 260

1. What is the LCM of 242, 273, 528, 634, 189?

Answer: LCM of 242, 273, 528, 634, 189 is 1507890384.

2. How to calculate the LCM of 242, 273, 528, 634, 189?

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, 273, 528, 634, 189.

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}.