Given numbers are 452,31,678

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

The LCM of 452,31,678 is 42036.

Find LCM of 452,31,678 with Prime Factorization

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

2 x 113 x 2 x 31 x 3 = 42036

Therefore, the lowest common multiple of 452,31,678 is 42036.

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.

452 x 31 x 678 = 9500136

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.

452 : 1, 2, 4, 113, 226, 452

31 : 1, 31

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 452,31,678, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

31:31

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.

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 9500136/(1x226)

LCM = 9500136/226

LCM = 42036

Thus, we can understand that the LCM of 452,31,678 is 42036.

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

• LCM of 982, 54, 340
• LCM of 576, 96, 557
• LCM of 412, 29, 502
• LCM of 395, 82, 648
• LCM of 670, 31, 507

1. What is the LCM of 452, 31, 678?

Answer: LCM of 452, 31, 678 is 42036.

2. How to calculate the LCM of 452, 31, 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 452, 31, 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}.