Given numbers are 461,181,370,678

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

The LCM of 461,181,370,678 is 10466004630.

Find LCM of 461,181,370,678 with Prime Factorization

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

2 x 461 x 181 x 185 x 339 = 10466004630

Therefore, the lowest common multiple of 461,181,370,678 is 10466004630.

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 181 x 370 x 678 = 20932009260

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

181 : 1, 181

370 : 1, 2, 5, 10, 37, 74, 185, 370

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,181,370,678, is 1.

Now, the common factors can be found like this.

461:461

181:181

370:2x 5x 37

678:2x 3x 113

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 = 20932009260/(1x2)

LCM = 20932009260/2

LCM = 10466004630

Thus, we can understand that the LCM of 461,181,370,678 is 10466004630.

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

• LCM of 538, 702, 109, 130
• LCM of 898, 543, 481, 518
• LCM of 819, 839, 242, 768
• LCM of 679, 234, 499, 390
• LCM of 688, 856, 550, 149

1. What is the LCM of 461, 181, 370, 678?

Answer: LCM of 461, 181, 370, 678 is 10466004630.

2. How to calculate the LCM of 461, 181, 370, 678?

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, 181, 370, 678.

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}.