Given numbers are 678,777,878,750,234

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

The LCM of 678,777,878,750,234 is 375810230250.

Find LCM of 678,777,878,750,234 with Prime Factorization

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

2 x 3 x 113 x 259 x 439 x 125 x 39 = 375810230250

Therefore, the lowest common multiple of 678,777,878,750,234 is 375810230250.

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 777 x 878 x 750 x 234 = 81175009734000

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

878 : 1, 2, 439, 878

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,777,878,750,234, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

777:3x 7x 37

878:2x 439

750:2x 3x 5x 5x 5

234:2x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 81175009734000/(1x216)

LCM = 81175009734000/216

LCM = 375810230250

Thus, we can understand that the LCM of 678,777,878,750,234 is 375810230250.

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

• LCM of 936, 763, 355, 617, 354
• LCM of 987, 565, 110, 257, 140
• LCM of 624, 251, 317, 794, 966
• LCM of 678, 385, 451, 251, 114
• LCM of 231, 887, 628, 259, 378

1. What is the LCM of 678, 777, 878, 750, 234?

Answer: LCM of 678, 777, 878, 750, 234 is 375810230250.

2. How to calculate the LCM of 678, 777, 878, 750, 234?

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, 777, 878, 750, 234.

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}.