Given numbers are 234,708,470,537,249

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

The LCM of 234,708,470,537,249 is 96404398740.

Find LCM of 234,708,470,537,249 with Prime Factorization

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

2 x 3 x 39 x 118 x 235 x 179 x 83 = 96404398740

Therefore, the lowest common multiple of 234,708,470,537,249 is 96404398740.

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.

234 x 708 x 470 x 537 x 249 = 10411675063920

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

470 : 1, 2, 5, 10, 47, 94, 235, 470

537 : 1, 3, 179, 537

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,708,470,537,249, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

708:2x 2x 3x 59

470:2x 5x 47

537:3x 179

249:3x 83

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 3 = 108

Therefore, the value for common factors is 108.

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 = 10411675063920/(1x108)

LCM = 10411675063920/108

LCM = 96404398740

Thus, we can understand that the LCM of 234,708,470,537,249 is 96404398740.

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

• LCM of 118, 775, 180, 784, 701
• LCM of 377, 459, 665, 912, 451
• LCM of 662, 468, 622, 805, 373
• LCM of 517, 229, 118, 603, 350
• LCM of 192, 945, 852, 382, 823

1. What is the LCM of 234, 708, 470, 537, 249?

Answer: LCM of 234, 708, 470, 537, 249 is 96404398740.

2. How to calculate the LCM of 234, 708, 470, 537, 249?

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 234, 708, 470, 537, 249.

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}.