Given numbers are 756,984,676,855,974

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

The LCM of 756,984,676,855,974 is 484702119720.

Find LCM of 756,984,676,855,974 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 82 x 169 x 95 x 487 = 484702119720

Therefore, the lowest common multiple of 756,984,676,855,974 is 484702119720.

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.

756 x 984 x 676 x 855 x 974 = 418782631438080

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,984,676,855,974, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

984:2x 2x 2x 3x 41

676:2x 2x 13x 13

855:3x 3x 5x 19

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 418782631438080/(1x864)

LCM = 418782631438080/864

LCM = 484702119720

Thus, we can understand that the LCM of 756,984,676,855,974 is 484702119720.

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

• LCM of 765, 232, 461, 739, 936
• LCM of 703, 878, 375, 429, 341
• LCM of 364, 720, 679, 803, 736
• LCM of 754, 836, 792, 496, 355
• LCM of 148, 557, 276, 804, 709

1. What is the LCM of 756, 984, 676, 855, 974?

Answer: LCM of 756, 984, 676, 855, 974 is 484702119720.

2. How to calculate the LCM of 756, 984, 676, 855, 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 756, 984, 676, 855, 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}.