Given numbers are 546,507,624,442

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

The LCM of 546,507,624,442 is 965328.

Find LCM of 546,507,624,442 with Prime Factorization

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

2 x 3 x 13 x 7 x 13 x 8 x 17 = 965328

Therefore, the lowest common multiple of 546,507,624,442 is 965328.

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 507 x 624 x 442 = 76349722176

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

507 : 1, 3, 13, 39, 169, 507

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

442 : 1, 2, 13, 17, 26, 34, 221, 442

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,507,624,442, is 13.

Now, the common factors can be found like this.

546:2x 3x 7x 13

507:3x 13x 13

624:2x 2x 2x 2x 3x 13

442:2x 13x 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 3x 3x 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 76349722176/(13x6084)

LCM = 76349722176/79092

LCM = 965328

Thus, we can understand that the LCM of 546,507,624,442 is 965328.

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

• LCM of 483, 597, 222, 661
• LCM of 942, 590, 450, 730
• LCM of 114, 876, 586, 256
• LCM of 944, 343, 750, 854
• LCM of 161, 251, 516, 141

1. What is the LCM of 546, 507, 624, 442?

Answer: LCM of 546, 507, 624, 442 is 965328.

2. How to calculate the LCM of 546, 507, 624, 442?

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, 507, 624, 442.

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}.