Given numbers are 742,149,381,204

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

The LCM of 742,149,381,204 is 1432168332.

Find LCM of 742,149,381,204 with Prime Factorization

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

2 x 3 x 371 x 149 x 127 x 34 = 1432168332

Therefore, the lowest common multiple of 742,149,381,204 is 1432168332.

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.

742 x 149 x 381 x 204 = 8593009992

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

149 : 1, 149

381 : 1, 3, 127, 381

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,149,381,204, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

149:149

381:3x 127

204:2x 2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 8593009992/(1x6)

LCM = 8593009992/6

LCM = 1432168332

Thus, we can understand that the LCM of 742,149,381,204 is 1432168332.

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

• LCM of 630, 138, 894, 704
• LCM of 180, 498, 519, 667
• LCM of 689, 782, 874, 754
• LCM of 561, 749, 195, 104
• LCM of 858, 185, 309, 527

1. What is the LCM of 742, 149, 381, 204?

Answer: LCM of 742, 149, 381, 204 is 1432168332.

2. How to calculate the LCM of 742, 149, 381, 204?

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 742, 149, 381, 204.

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}.