Given numbers are 974,171,687

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

The LCM of 974,171,687 is 38140866.

Find LCM of 974,171,687 with Prime Factorization

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

3 x 974 x 57 x 229 = 38140866

Therefore, the lowest common multiple of 974,171,687 is 38140866.

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 171 x 687 = 114422598

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

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

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,171,687, is 1.

Now, the common factors can be found like this.

974:2x 487

171:3x 3x 19

687:3x 229

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

3 = 3

Therefore, the value for common factors is 3.

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 = 114422598/(1x3)

LCM = 114422598/3

LCM = 38140866

Thus, we can understand that the LCM of 974,171,687 is 38140866.

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

• LCM of 482, 682, 801
• LCM of 753, 785, 506
• LCM of 654, 799, 308
• LCM of 963, 749, 160
• LCM of 692, 468, 652

1. What is the LCM of 974, 171, 687?

Answer: LCM of 974, 171, 687 is 38140866.

2. How to calculate the LCM of 974, 171, 687?

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, 171, 687.

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}.