Given numbers are 492,750,758,546

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

The LCM of 492,750,758,546 is 2121073500.

Find LCM of 492,750,758,546 with Prime Factorization

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

2 x 3 x 82 x 125 x 379 x 91 = 2121073500

Therefore, the lowest common multiple of 492,750,758,546 is 2121073500.

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.

492 x 750 x 758 x 546 = 152717292000

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

758 : 1, 2, 379, 758

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,750,758,546, is 2.

Now, the common factors can be found like this.

492:2x 2x 3x 41

750:2x 3x 5x 5x 5

758:2x 379

546:2x 3x 7x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 152717292000/(2x36)

LCM = 152717292000/72

LCM = 2121073500

Thus, we can understand that the LCM of 492,750,758,546 is 2121073500.

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

• LCM of 862, 247, 120, 871
• LCM of 965, 636, 670, 616
• LCM of 186, 963, 423, 653
• LCM of 252, 248, 627, 167
• LCM of 317, 460, 497, 805

1. What is the LCM of 492, 750, 758, 546?

Answer: LCM of 492, 750, 758, 546 is 2121073500.

2. How to calculate the LCM of 492, 750, 758, 546?

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 492, 750, 758, 546.

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}.