Given numbers are 146,112,424,125,678

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

The LCM of 146,112,424,125,678 is 18362274000.

Find LCM of 146,112,424,125,678 with Prime Factorization

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

2 x 2 x 2 x 73 x 14 x 53 x 125 x 339 = 18362274000

Therefore, the lowest common multiple of 146,112,424,125,678 is 18362274000.

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.

146 x 112 x 424 x 125 x 678 = 587592768000

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.

146 : 1, 2, 73, 146

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

424 : 1, 2, 4, 8, 53, 106, 212, 424

125 : 1, 5, 25, 125

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 146,112,424,125,678, is 1.

Now, the common factors can be found like this.

146:2x 73

112:2x 2x 2x 2x 7

424:2x 2x 2x 53

125:5x 5x 5

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 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 587592768000/(1x32)

LCM = 587592768000/32

LCM = 18362274000

Thus, we can understand that the LCM of 146,112,424,125,678 is 18362274000.

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

• LCM of 253, 772, 180, 547, 322
• LCM of 639, 210, 996, 374, 192
• LCM of 594, 846, 242, 481, 405
• LCM of 977, 493, 262, 543, 427
• LCM of 527, 203, 832, 558, 170

1. What is the LCM of 146, 112, 424, 125, 678?

Answer: LCM of 146, 112, 424, 125, 678 is 18362274000.

2. How to calculate the LCM of 146, 112, 424, 125, 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 146, 112, 424, 125, 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}.