Given numbers are 303,372,624,738

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

The LCM of 303,372,624,738 is 240310512.

Find LCM of 303,372,624,738 with Prime Factorization

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

2 x 2 x 3 x 101 x 31 x 52 x 123 = 240310512

Therefore, the lowest common multiple of 303,372,624,738 is 240310512.

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.

303 x 372 x 624 x 738 = 51907070592

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.

303 : 1, 3, 101, 303

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,372,624,738, is 3.

Now, the common factors can be found like this.

303:3x 101

372:2x 2x 3x 31

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

738:2x 3x 3x 41

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 = 51907070592/(3x72)

LCM = 51907070592/216

LCM = 240310512

Thus, we can understand that the LCM of 303,372,624,738 is 240310512.

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

• LCM of 724, 503, 947, 685
• LCM of 817, 761, 200, 832
• LCM of 318, 903, 473, 830
• LCM of 846, 687, 461, 929
• LCM of 245, 129, 929, 389

1. What is the LCM of 303, 372, 624, 738?

Answer: LCM of 303, 372, 624, 738 is 240310512.

2. How to calculate the LCM of 303, 372, 624, 738?

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 303, 372, 624, 738.

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}.