Given numbers are 736,248,424,461

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

The LCM of 736,248,424,461 is 557463328.

Find LCM of 736,248,424,461 with Prime Factorization

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

2 x 2 x 2 x 92 x 31 x 53 x 461 = 557463328

Therefore, the lowest common multiple of 736,248,424,461 is 557463328.

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.

736 x 248 x 424 x 461 = 35677652992

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,248,424,461, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

248:2x 2x 2x 31

424:2x 2x 2x 53

461:461

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 35677652992/(1x64)

LCM = 35677652992/64

LCM = 557463328

Thus, we can understand that the LCM of 736,248,424,461 is 557463328.

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

• LCM of 295, 156, 822, 470
• LCM of 604, 976, 188, 649
• LCM of 371, 369, 612, 271
• LCM of 116, 835, 448, 643
• LCM of 915, 216, 269, 103

1. What is the LCM of 736, 248, 424, 461?

Answer: LCM of 736, 248, 424, 461 is 557463328.

2. How to calculate the LCM of 736, 248, 424, 461?

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 736, 248, 424, 461.

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}.