Given numbers are 428,470,471,318,714

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

The LCM of 428,470,471,318,714 is 298782646260.

Find LCM of 428,470,471,318,714 with Prime Factorization

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

2 x 3 x 214 x 235 x 157 x 53 x 119 = 298782646260

Therefore, the lowest common multiple of 428,470,471,318,714 is 298782646260.

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.

428 x 470 x 471 x 318 x 714 = 21512350530720

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.

428 : 1, 2, 4, 107, 214, 428

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

471 : 1, 3, 157, 471

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,470,471,318,714, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

470:2x 5x 47

471:3x 157

318:2x 3x 53

714:2x 3x 7x 17

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 3 = 72

Therefore, the value for common factors is 72.

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 = 21512350530720/(1x72)

LCM = 21512350530720/72

LCM = 298782646260

Thus, we can understand that the LCM of 428,470,471,318,714 is 298782646260.

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

• LCM of 412, 975, 154, 829, 185
• LCM of 973, 807, 921, 874, 576
• LCM of 757, 417, 301, 780, 675
• LCM of 969, 804, 580, 476, 538
• LCM of 830, 118, 108, 670, 323

1. What is the LCM of 428, 470, 471, 318, 714?

Answer: LCM of 428, 470, 471, 318, 714 is 298782646260.

2. How to calculate the LCM of 428, 470, 471, 318, 714?

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 428, 470, 471, 318, 714.

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}.