Given numbers are 170,126,368,194,123

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

The LCM of 170,126,368,194,123 is 7837235280.

Find LCM of 170,126,368,194,123 with Prime Factorization

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

2 x 3 x 85 x 21 x 184 x 97 x 41 = 7837235280

Therefore, the lowest common multiple of 170,126,368,194,123 is 7837235280.

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.

170 x 126 x 368 x 194 x 123 = 188093646720

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

194 : 1, 2, 97, 194

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,126,368,194,123, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

126:2x 3x 3x 7

368:2x 2x 2x 2x 23

194:2x 97

123:3x 41

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 3 = 24

Therefore, the value for common factors is 24.

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 = 188093646720/(1x24)

LCM = 188093646720/24

LCM = 7837235280

Thus, we can understand that the LCM of 170,126,368,194,123 is 7837235280.

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

• LCM of 894, 147, 879, 303, 986
• LCM of 472, 801, 230, 614, 278
• LCM of 381, 364, 746, 682, 119
• LCM of 187, 615, 443, 439, 471
• LCM of 191, 246, 810, 462, 248

1. What is the LCM of 170, 126, 368, 194, 123?

Answer: LCM of 170, 126, 368, 194, 123 is 7837235280.

2. How to calculate the LCM of 170, 126, 368, 194, 123?

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 170, 126, 368, 194, 123.

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}.