Given numbers are 230,714,545,318,240

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

The LCM of 230,714,545,318,240 is 3794795760.

Find LCM of 230,714,545,318,240 with Prime Factorization

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

2 x 3 x 5 x 23 x 119 x 109 x 53 x 8 = 3794795760

Therefore, the lowest common multiple of 230,714,545,318,240 is 3794795760.

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.

230 x 714 x 545 x 318 x 240 = 6830632368000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

545 : 1, 5, 109, 545

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,714,545,318,240, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

714:2x 3x 7x 17

545:5x 109

318:2x 3x 53

240:2x 2x 2x 2x 3x 5

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 6830632368000/(1x1800)

LCM = 6830632368000/1800

LCM = 3794795760

Thus, we can understand that the LCM of 230,714,545,318,240 is 3794795760.

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

• LCM of 494, 402, 468, 295, 788
• LCM of 790, 362, 325, 227, 916
• LCM of 783, 453, 955, 797, 364
• LCM of 972, 235, 184, 675, 270
• LCM of 510, 969, 829, 362, 916

1. What is the LCM of 230, 714, 545, 318, 240?

Answer: LCM of 230, 714, 545, 318, 240 is 3794795760.

2. How to calculate the LCM of 230, 714, 545, 318, 240?

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 230, 714, 545, 318, 240.

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}.