Given numbers are 678,767,440

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

The LCM of 678,767,440 is 114405720.

Find LCM of 678,767,440 with Prime Factorization

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

2 x 339 x 767 x 220 = 114405720

Therefore, the lowest common multiple of 678,767,440 is 114405720.

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 767 x 440 = 228811440

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

767 : 1, 13, 59, 767

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,767,440, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

767:13x 59

440:2x 2x 2x 5x 11

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 = 228811440/(1x2)

LCM = 228811440/2

LCM = 114405720

Thus, we can understand that the LCM of 678,767,440 is 114405720.

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

• LCM of 946, 903, 751
• LCM of 488, 332, 854
• LCM of 707, 314, 995
• LCM of 806, 644, 133
• LCM of 323, 124, 953

1. What is the LCM of 678, 767, 440?

Answer: LCM of 678, 767, 440 is 114405720.

2. How to calculate the LCM of 678, 767, 440?

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, 767, 440.

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}.