Given numbers are 731,113,678

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

The LCM of 731,113,678 is 495618.

Find LCM of 731,113,678 with Prime Factorization

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

113 x 731 x 1 x 6 = 495618

Therefore, the lowest common multiple of 731,113,678 is 495618.

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.

731 x 113 x 678 = 56004834

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.

731 : 1, 17, 43, 731

113 : 1, 113

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 731,113,678, is 1.

Now, the common factors can be found like this.

731:17x 43

113:113

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.

113 = 113

Therefore, the value for common factors is 113.

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 = 56004834/(1x113)

LCM = 56004834/113

LCM = 495618

Thus, we can understand that the LCM of 731,113,678 is 495618.

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

• LCM of 998, 710, 792
• LCM of 604, 326, 917
• LCM of 845, 389, 733
• LCM of 893, 447, 119
• LCM of 465, 651, 941

1. What is the LCM of 731, 113, 678?

Answer: LCM of 731, 113, 678 is 495618.

2. How to calculate the LCM of 731, 113, 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 731, 113, 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}.