Given numbers are 178,171,156,241

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

The LCM of 178,171,156,241 is 190724508.

Find LCM of 178,171,156,241 with Prime Factorization

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

2 x 3 x 89 x 57 x 26 x 241 = 190724508

Therefore, the lowest common multiple of 178,171,156,241 is 190724508.

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.

178 x 171 x 156 x 241 = 1144347048

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.

178 : 1, 2, 89, 178

171 : 1, 3, 9, 19, 57, 171

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,171,156,241, is 1.

Now, the common factors can be found like this.

178:2x 89

171:3x 3x 19

156:2x 2x 3x 13

241:241

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1144347048/(1x6)

LCM = 1144347048/6

LCM = 190724508

Thus, we can understand that the LCM of 178,171,156,241 is 190724508.

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

• LCM of 845, 274, 907, 609
• LCM of 857, 813, 706, 876
• LCM of 830, 317, 145, 388
• LCM of 599, 267, 359, 280
• LCM of 755, 981, 654, 592

1. What is the LCM of 178, 171, 156, 241?

Answer: LCM of 178, 171, 156, 241 is 190724508.

2. How to calculate the LCM of 178, 171, 156, 241?

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 178, 171, 156, 241.

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}.