Given numbers are 480,753,756,974

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

The LCM of 480,753,756,974 is 3696446880.

Find LCM of 480,753,756,974 with Prime Factorization

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

2 x 2 x 3 x 40 x 251 x 63 x 487 = 3696446880

Therefore, the lowest common multiple of 480,753,756,974 is 3696446880.

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.

480 x 753 x 756 x 974 = 266144175360

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

753 : 1, 3, 251, 753

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

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,753,756,974, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

753:3x 251

756:2x 2x 3x 3x 3x 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 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 = 266144175360/(1x72)

LCM = 266144175360/72

LCM = 3696446880

Thus, we can understand that the LCM of 480,753,756,974 is 3696446880.

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

• LCM of 209, 650, 375, 853
• LCM of 399, 220, 969, 840
• LCM of 834, 133, 622, 513
• LCM of 849, 585, 887, 405
• LCM of 132, 331, 722, 996

1. What is the LCM of 480, 753, 756, 974?

Answer: LCM of 480, 753, 756, 974 is 3696446880.

2. How to calculate the LCM of 480, 753, 756, 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 480, 753, 756, 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}.