Given numbers are 745,524,706,864

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

The LCM of 745,524,706,864 is 29765694240.

Find LCM of 745,524,706,864 with Prime Factorization

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

2 x 2 x 745 x 131 x 353 x 216 = 29765694240

Therefore, the lowest common multiple of 745,524,706,864 is 29765694240.

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.

745 x 524 x 706 x 864 = 238125553920

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.

745 : 1, 5, 149, 745

524 : 1, 2, 4, 131, 262, 524

706 : 1, 2, 353, 706

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,524,706,864, is 1.

Now, the common factors can be found like this.

745:5x 149

524:2x 2x 131

706:2x 353

864:2x 2x 2x 2x 2x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 238125553920/(1x8)

LCM = 238125553920/8

LCM = 29765694240

Thus, we can understand that the LCM of 745,524,706,864 is 29765694240.

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

• LCM of 464, 416, 337, 710
• LCM of 981, 656, 901, 136
• LCM of 807, 208, 395, 190
• LCM of 789, 383, 462, 225
• LCM of 409, 734, 849, 458

1. What is the LCM of 745, 524, 706, 864?

Answer: LCM of 745, 524, 706, 864 is 29765694240.

2. How to calculate the LCM of 745, 524, 706, 864?

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 745, 524, 706, 864.

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}.