Given numbers are 540,759,489,936

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

The LCM of 540,759,489,936 is 578995560.

Find LCM of 540,759,489,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 253 x 163 x 26 = 578995560

Therefore, the lowest common multiple of 540,759,489,936 is 578995560.

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 759 x 489 x 936 = 187594561440

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

489 : 1, 3, 163, 489

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,759,489,936, is 3.

Now, the common factors can be found like this.

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

759:3x 11x 23

489:3x 163

936:2x 2x 2x 3x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 187594561440/(3x108)

LCM = 187594561440/324

LCM = 578995560

Thus, we can understand that the LCM of 540,759,489,936 is 578995560.

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

• LCM of 393, 498, 328, 320
• LCM of 424, 573, 302, 221
• LCM of 783, 556, 867, 978
• LCM of 340, 990, 607, 277
• LCM of 996, 640, 719, 671

1. What is the LCM of 540, 759, 489, 936?

Answer: LCM of 540, 759, 489, 936 is 578995560.

2. How to calculate the LCM of 540, 759, 489, 936?

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, 759, 489, 936.

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}.