Given numbers are 454,526,424,742

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

The LCM of 454,526,424,742 is 177192568.

Find LCM of 454,526,424,742 with Prime Factorization

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

2 x 53 x 227 x 263 x 4 x 7 = 177192568

Therefore, the lowest common multiple of 454,526,424,742 is 177192568.

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.

454 x 526 x 424 x 742 = 75129648832

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.

454 : 1, 2, 227, 454

526 : 1, 2, 263, 526

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,526,424,742, is 2.

Now, the common factors can be found like this.

454:2x 227

526:2x 263

424:2x 2x 2x 53

742:2x 7x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 75129648832/(2x212)

LCM = 75129648832/424

LCM = 177192568

Thus, we can understand that the LCM of 454,526,424,742 is 177192568.

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

• LCM of 572, 955, 274, 653
• LCM of 852, 727, 199, 145
• LCM of 247, 320, 311, 465
• LCM of 790, 201, 258, 308
• LCM of 171, 601, 260, 538

1. What is the LCM of 454, 526, 424, 742?

Answer: LCM of 454, 526, 424, 742 is 177192568.

2. How to calculate the LCM of 454, 526, 424, 742?

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 454, 526, 424, 742.

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}.