Given numbers are 676,306,312,112,974

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

The LCM of 676,306,312,112,974 is 1410344208.

Find LCM of 676,306,312,112,974 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 51 x 13 x 14 x 487 = 1410344208

Therefore, the lowest common multiple of 676,306,312,112,974 is 1410344208.

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.

676 x 306 x 312 x 112 x 974 = 7040438286336

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,306,312,112,974, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

306:2x 3x 3x 17

312:2x 2x 2x 3x 13

112:2x 2x 2x 2x 7

974:2x 487

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 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 7040438286336/(2x2496)

LCM = 7040438286336/4992

LCM = 1410344208

Thus, we can understand that the LCM of 676,306,312,112,974 is 1410344208.

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

• LCM of 118, 484, 852, 606, 730
• LCM of 122, 853, 542, 593, 745
• LCM of 715, 356, 335, 127, 386
• LCM of 116, 526, 737, 804, 370
• LCM of 885, 456, 436, 271, 588

1. What is the LCM of 676, 306, 312, 112, 974?

Answer: LCM of 676, 306, 312, 112, 974 is 1410344208.

2. How to calculate the LCM of 676, 306, 312, 112, 974?

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 676, 306, 312, 112, 974.

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}.