Given numbers are 678,751,460

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

The LCM of 678,751,460 is 117110940.

Find LCM of 678,751,460 with Prime Factorization

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

2 x 339 x 751 x 230 = 117110940

Therefore, the lowest common multiple of 678,751,460 is 117110940.

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.

678 x 751 x 460 = 234221880

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.

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

751 : 1, 751

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,751,460, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

751:751

460:2x 2x 5x 23

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 = 234221880/(1x2)

LCM = 234221880/2

LCM = 117110940

Thus, we can understand that the LCM of 678,751,460 is 117110940.

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

• LCM of 770, 185, 232
• LCM of 768, 641, 321
• LCM of 709, 913, 474
• LCM of 951, 907, 129
• LCM of 760, 194, 500

1. What is the LCM of 678, 751, 460?

Answer: LCM of 678, 751, 460 is 117110940.

2. How to calculate the LCM of 678, 751, 460?

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 678, 751, 460.

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}.