Given numbers are 747,285,920,411,141

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

The LCM of 747,285,920,411,141 is 84077628840.

Find LCM of 747,285,920,411,141 with Prime Factorization

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

3 x 5 x 249 x 19 x 184 x 137 x 47 = 84077628840

Therefore, the lowest common multiple of 747,285,920,411,141 is 84077628840.

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.

747 x 285 x 920 x 411 x 141 = 11350479893400

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.

747 : 1, 3, 9, 83, 249, 747

285 : 1, 3, 5, 15, 19, 57, 95, 285

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

411 : 1, 3, 137, 411

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,285,920,411,141, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

285:3x 5x 19

920:2x 2x 2x 5x 23

411:3x 137

141:3x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 11350479893400/(1x135)

LCM = 11350479893400/135

LCM = 84077628840

Thus, we can understand that the LCM of 747,285,920,411,141 is 84077628840.

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

• LCM of 374, 783, 237, 468, 109
• LCM of 177, 317, 689, 490, 557
• LCM of 764, 589, 200, 966, 918
• LCM of 892, 786, 624, 188, 124
• LCM of 538, 746, 629, 807, 777

1. What is the LCM of 747, 285, 920, 411, 141?

Answer: LCM of 747, 285, 920, 411, 141 is 84077628840.

2. How to calculate the LCM of 747, 285, 920, 411, 141?

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 747, 285, 920, 411, 141.

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}.