Given numbers are 743,874,414,547

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

The LCM of 743,874,414,547 is 3196907586.

Find LCM of 743,874,414,547 with Prime Factorization

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

2 x 23 x 743 x 19 x 9 x 547 = 3196907586

Therefore, the lowest common multiple of 743,874,414,547 is 3196907586.

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.

743 x 874 x 414 x 547 = 147057748956

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.

743 : 1, 743

874 : 1, 2, 19, 23, 38, 46, 437, 874

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,874,414,547, is 1.

Now, the common factors can be found like this.

743:743

874:2x 19x 23

414:2x 3x 3x 23

547:547

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 147057748956/(1x46)

LCM = 147057748956/46

LCM = 3196907586

Thus, we can understand that the LCM of 743,874,414,547 is 3196907586.

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

• LCM of 905, 987, 863, 781
• LCM of 758, 522, 310, 414
• LCM of 829, 140, 232, 115
• LCM of 657, 382, 327, 384
• LCM of 275, 498, 740, 417

1. What is the LCM of 743, 874, 414, 547?

Answer: LCM of 743, 874, 414, 547 is 3196907586.

2. How to calculate the LCM of 743, 874, 414, 547?

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 743, 874, 414, 547.

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}.