Given numbers are 182,171,202,678,356

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

The LCM of 182,171,202,678,356 is 63224778708.

Find LCM of 182,171,202,678,356 with Prime Factorization

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

2 x 3 x 91 x 57 x 101 x 113 x 178 = 63224778708

Therefore, the lowest common multiple of 182,171,202,678,356 is 63224778708.

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.

182 x 171 x 202 x 678 x 356 = 1517394688992

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

202 : 1, 2, 101, 202

678 : 1, 2, 3, 6, 113, 226, 339, 678

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,171,202,678,356, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

171:3x 3x 19

202:2x 101

678:2x 3x 113

356:2x 2x 89

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 = 1517394688992/(1x24)

LCM = 1517394688992/24

LCM = 63224778708

Thus, we can understand that the LCM of 182,171,202,678,356 is 63224778708.

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

• LCM of 994, 164, 198, 167, 139
• LCM of 861, 607, 320, 725, 929
• LCM of 765, 738, 450, 116, 348
• LCM of 934, 806, 826, 148, 388
• LCM of 113, 920, 740, 806, 178

1. What is the LCM of 182, 171, 202, 678, 356?

Answer: LCM of 182, 171, 202, 678, 356 is 63224778708.

2. How to calculate the LCM of 182, 171, 202, 678, 356?

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 182, 171, 202, 678, 356.

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}.