Given numbers are 741,456,283,977

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

The LCM of 741,456,283,977 is 1639038648.

Find LCM of 741,456,283,977 with Prime Factorization

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

3 x 19 x 13 x 8 x 283 x 977 = 1639038648

Therefore, the lowest common multiple of 741,456,283,977 is 1639038648.

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.

741 x 456 x 283 x 977 = 93425202936

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

283 : 1, 283

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,456,283,977, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

456:2x 2x 2x 3x 19

283:283

977:977

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 93425202936/(1x57)

LCM = 93425202936/57

LCM = 1639038648

Thus, we can understand that the LCM of 741,456,283,977 is 1639038648.

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

• LCM of 423, 765, 449, 818
• LCM of 128, 285, 999, 845
• LCM of 604, 339, 451, 276
• LCM of 252, 384, 123, 502
• LCM of 858, 520, 207, 385

1. What is the LCM of 741, 456, 283, 977?

Answer: LCM of 741, 456, 283, 977 is 1639038648.

2. How to calculate the LCM of 741, 456, 283, 977?

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 741, 456, 283, 977.

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}.