Given numbers are 540,514,828,974

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

The LCM of 540,514,828,974 is 1554474780.

Find LCM of 540,514,828,974 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 257 x 23 x 487 = 1554474780

Therefore, the lowest common multiple of 540,514,828,974 is 1554474780.

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.

540 x 514 x 828 x 974 = 223844368320

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

514 : 1, 2, 257, 514

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,514,828,974, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

514:2x 257

828:2x 2x 3x 3x 23

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 = 223844368320/(2x72)

LCM = 223844368320/144

LCM = 1554474780

Thus, we can understand that the LCM of 540,514,828,974 is 1554474780.

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

• LCM of 179, 923, 860, 579
• LCM of 724, 693, 349, 250
• LCM of 650, 929, 992, 530
• LCM of 189, 462, 817, 924
• LCM of 892, 908, 378, 130

1. What is the LCM of 540, 514, 828, 974?

Answer: LCM of 540, 514, 828, 974 is 1554474780.

2. How to calculate the LCM of 540, 514, 828, 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 540, 514, 828, 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}.