Given numbers are 974,42,217

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

The LCM of 974,42,217 is 634074.

Find LCM of 974,42,217 with Prime Factorization

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

2 x 7 x 487 x 3 x 31 = 634074

Therefore, the lowest common multiple of 974,42,217 is 634074.

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 42 x 217 = 8877036

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

42 : 1, 2, 3, 6, 7, 14, 21, 42

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,42,217, is 1.

Now, the common factors can be found like this.

974:2x 487

42:2x 3x 7

217:7x 31

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 8877036/(1x14)

LCM = 8877036/14

LCM = 634074

Thus, we can understand that the LCM of 974,42,217 is 634074.

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

• LCM of 867, 60, 945
• LCM of 656, 96, 427
• LCM of 498, 33, 361
• LCM of 410, 31, 873
• LCM of 178, 61, 237

1. What is the LCM of 974, 42, 217?

Answer: LCM of 974, 42, 217 is 634074.

2. How to calculate the LCM of 974, 42, 217?

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, 42, 217.

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}.