Given numbers are 228,407,624,546

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

The LCM of 228,407,624,546 is 33777744.

Find LCM of 228,407,624,546 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 407 x 4 x 7 = 33777744

Therefore, the lowest common multiple of 228,407,624,546 is 33777744.

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.

228 x 407 x 624 x 546 = 31615968384

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

407 : 1, 11, 37, 407

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,407,624,546, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

407:11x 37

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

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 2x 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 31615968384/(1x936)

LCM = 31615968384/936

LCM = 33777744

Thus, we can understand that the LCM of 228,407,624,546 is 33777744.

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

• LCM of 261, 368, 397, 891
• LCM of 930, 112, 345, 961
• LCM of 880, 680, 690, 501
• LCM of 723, 592, 481, 983
• LCM of 485, 328, 272, 991

1. What is the LCM of 228, 407, 624, 546?

Answer: LCM of 228, 407, 624, 546 is 33777744.

2. How to calculate the LCM of 228, 407, 624, 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 228, 407, 624, 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}.