Given numbers are 481,506,690,924

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

The LCM of 481,506,690,924 is 51111060.

Find LCM of 481,506,690,924 with Prime Factorization

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

2 x 3 x 11 x 23 x 481 x 1 x 5 x 14 = 51111060

Therefore, the lowest common multiple of 481,506,690,924 is 51111060.

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.

481 x 506 x 690 x 924 = 155173178160

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.

481 : 1, 13, 37, 481

506 : 1, 2, 11, 22, 23, 46, 253, 506

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,506,690,924, is 1.

Now, the common factors can be found like this.

481:13x 37

506:2x 11x 23

690:2x 3x 5x 23

924:2x 2x 3x 7x 11

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 3x 11x 23 = 3036

Therefore, the value for common factors is 3036.

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 = 155173178160/(1x3036)

LCM = 155173178160/3036

LCM = 51111060

Thus, we can understand that the LCM of 481,506,690,924 is 51111060.

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

• LCM of 993, 148, 135, 238
• LCM of 228, 465, 382, 642
• LCM of 420, 674, 940, 695
• LCM of 317, 954, 803, 208
• LCM of 772, 457, 391, 127

1. What is the LCM of 481, 506, 690, 924?

Answer: LCM of 481, 506, 690, 924 is 51111060.

2. How to calculate the LCM of 481, 506, 690, 924?

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 481, 506, 690, 924.

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}.