Given numbers are 540,600,456,829

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

The LCM of 540,600,456,829 is 85055400.

Find LCM of 540,600,456,829 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 9 x 5 x 19 x 829 = 85055400

Therefore, the lowest common multiple of 540,600,456,829 is 85055400.

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 600 x 456 x 829 = 122479776000

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,600,456,829, is 1.

Now, the common factors can be found like this.

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

600:2x 2x 2x 3x 5x 5

456:2x 2x 2x 3x 19

829:829

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 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 122479776000/(1x1440)

LCM = 122479776000/1440

LCM = 85055400

Thus, we can understand that the LCM of 540,600,456,829 is 85055400.

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

• LCM of 642, 759, 389, 317
• LCM of 770, 756, 767, 999
• LCM of 447, 198, 296, 371
• LCM of 612, 532, 398, 611
• LCM of 341, 259, 865, 878

1. What is the LCM of 540, 600, 456, 829?

Answer: LCM of 540, 600, 456, 829 is 85055400.

2. How to calculate the LCM of 540, 600, 456, 829?

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, 600, 456, 829.

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}.