Given numbers are 540,483,138,312

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

The LCM of 540,483,138,312 is 2260440.

Find LCM of 540,483,138,312 with Prime Factorization

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

2 x 2 x 3 x 23 x 45 x 7 x 1 x 26 = 2260440

Therefore, the lowest common multiple of 540,483,138,312 is 2260440.

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 483 x 138 x 312 = 11229865920

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,483,138,312, is 3.

Now, the common factors can be found like this.

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

483:3x 7x 23

138:2x 3x 23

312:2x 2x 2x 3x 13

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 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 11229865920/(3x1656)

LCM = 11229865920/4968

LCM = 2260440

Thus, we can understand that the LCM of 540,483,138,312 is 2260440.

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

• LCM of 532, 511, 466, 680
• LCM of 162, 190, 715, 336
• LCM of 547, 938, 650, 351
• LCM of 871, 261, 193, 301
• LCM of 253, 422, 971, 760

1. What is the LCM of 540, 483, 138, 312?

Answer: LCM of 540, 483, 138, 312 is 2260440.

2. How to calculate the LCM of 540, 483, 138, 312?

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, 483, 138, 312.

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}.