Given numbers are 338,378,624,484

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

The LCM of 338,378,624,484 is 61837776.

Find LCM of 338,378,624,484 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 63 x 4 x 121 = 61837776

Therefore, the lowest common multiple of 338,378,624,484 is 61837776.

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.

338 x 378 x 624 x 484 = 38586772224

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.

338 : 1, 2, 13, 26, 169, 338

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,378,624,484, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

378:2x 3x 3x 3x 7

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

484:2x 2x 11x 11

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 13 = 312

Therefore, the value for common factors is 312.

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 = 38586772224/(2x312)

LCM = 38586772224/624

LCM = 61837776

Thus, we can understand that the LCM of 338,378,624,484 is 61837776.

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

• LCM of 320, 256, 695, 931
• LCM of 759, 898, 421, 192
• LCM of 204, 455, 100, 110
• LCM of 580, 336, 872, 264
• LCM of 791, 688, 336, 613

1. What is the LCM of 338, 378, 624, 484?

Answer: LCM of 338, 378, 624, 484 is 61837776.

2. How to calculate the LCM of 338, 378, 624, 484?

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 338, 378, 624, 484.

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}.