Given numbers are 461,268,677,738

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

The LCM of 461,268,677,738 is 30863896524.

Find LCM of 461,268,677,738 with Prime Factorization

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

2 x 461 x 134 x 677 x 369 = 30863896524

Therefore, the lowest common multiple of 461,268,677,738 is 30863896524.

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.

461 x 268 x 677 x 738 = 61727793048

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.

461 : 1, 461

268 : 1, 2, 4, 67, 134, 268

677 : 1, 677

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,268,677,738, is 1.

Now, the common factors can be found like this.

461:461

268:2x 2x 67

677:677

738:2x 3x 3x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61727793048/(1x2)

LCM = 61727793048/2

LCM = 30863896524

Thus, we can understand that the LCM of 461,268,677,738 is 30863896524.

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

• LCM of 639, 767, 499, 295
• LCM of 550, 461, 414, 647
• LCM of 267, 808, 459, 750
• LCM of 890, 132, 140, 228
• LCM of 279, 971, 754, 324

1. What is the LCM of 461, 268, 677, 738?

Answer: LCM of 461, 268, 677, 738 is 30863896524.

2. How to calculate the LCM of 461, 268, 677, 738?

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 461, 268, 677, 738.

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}.