Given numbers are 974,828,167,171

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

The LCM of 974,828,167,171 is 1279467828.

Find LCM of 974,828,167,171 with Prime Factorization

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

2 x 3 x 3 x 487 x 46 x 167 x 19 = 1279467828

Therefore, the lowest common multiple of 974,828,167,171 is 1279467828.

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.

974 x 828 x 167 x 171 = 23030420904

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.

974 : 1, 2, 487, 974

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

167 : 1, 167

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,828,167,171, is 1.

Now, the common factors can be found like this.

974:2x 487

828:2x 2x 3x 3x 23

167:167

171:3x 3x 19

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 23030420904/(1x18)

LCM = 23030420904/18

LCM = 1279467828

Thus, we can understand that the LCM of 974,828,167,171 is 1279467828.

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

• LCM of 867, 653, 691, 713
• LCM of 955, 262, 250, 299
• LCM of 801, 523, 715, 873
• LCM of 645, 287, 113, 394
• LCM of 952, 583, 583, 480

1. What is the LCM of 974, 828, 167, 171?

Answer: LCM of 974, 828, 167, 171 is 1279467828.

2. How to calculate the LCM of 974, 828, 167, 171?

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 974, 828, 167, 171.

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}.