Given numbers are 167,972,600,194,128

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

The LCM of 167,972,600,194,128 is 12596342400.

Find LCM of 167,972,600,194,128 with Prime Factorization

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

2 x 2 x 2 x 3 x 167 x 81 x 25 x 97 x 16 = 12596342400

Therefore, the lowest common multiple of 167,972,600,194,128 is 12596342400.

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.

167 x 972 x 600 x 194 x 128 = 2418497740800

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.

167 : 1, 167

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

194 : 1, 2, 97, 194

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,972,600,194,128, is 1.

Now, the common factors can be found like this.

167:167

972:2x 2x 3x 3x 3x 3x 3

600:2x 2x 2x 3x 5x 5

194:2x 97

128:2x 2x 2x 2x 2x 2x 2

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 2418497740800/(1x192)

LCM = 2418497740800/192

LCM = 12596342400

Thus, we can understand that the LCM of 167,972,600,194,128 is 12596342400.

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

• LCM of 691, 864, 535, 281, 815
• LCM of 177, 162, 852, 152, 836
• LCM of 752, 300, 712, 996, 189
• LCM of 594, 181, 156, 529, 525
• LCM of 211, 473, 830, 496, 930

1. What is the LCM of 167, 972, 600, 194, 128?

Answer: LCM of 167, 972, 600, 194, 128 is 12596342400.

2. How to calculate the LCM of 167, 972, 600, 194, 128?

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 167, 972, 600, 194, 128.

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}.