Given numbers are 546,492,872,510

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

The LCM of 546,492,872,510 is 829625160.

Find LCM of 546,492,872,510 with Prime Factorization

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

2 x 2 x 3 x 91 x 41 x 218 x 85 = 829625160

Therefore, the lowest common multiple of 546,492,872,510 is 829625160.

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.

546 x 492 x 872 x 510 = 119466023040

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.

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

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,492,872,510, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

492:2x 2x 3x 41

872:2x 2x 2x 109

510:2x 3x 5x 17

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 = 119466023040/(2x72)

LCM = 119466023040/144

LCM = 829625160

Thus, we can understand that the LCM of 546,492,872,510 is 829625160.

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

• LCM of 105, 557, 166, 306
• LCM of 845, 464, 747, 853
• LCM of 543, 142, 425, 682
• LCM of 617, 151, 489, 951
• LCM of 719, 271, 775, 923

1. What is the LCM of 546, 492, 872, 510?

Answer: LCM of 546, 492, 872, 510 is 829625160.

2. How to calculate the LCM of 546, 492, 872, 510?

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 546, 492, 872, 510.

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}.