Given numbers are 674,765,217,217

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

The LCM of 674,765,217,217 is 111887370.

Find LCM of 674,765,217,217 with Prime Factorization

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

7 x 31 x 674 x 765 x 1 x 1 = 111887370

Therefore, the lowest common multiple of 674,765,217,217 is 111887370.

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.

674 x 765 x 217 x 217 = 24279559290

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.

674 : 1, 2, 337, 674

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

217 : 1, 7, 31, 217

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,765,217,217, is 1.

Now, the common factors can be found like this.

674:2x 337

765:3x 3x 5x 17

217:7x 31

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.

7x 31 = 217

Therefore, the value for common factors is 217.

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 = 24279559290/(1x217)

LCM = 24279559290/217

LCM = 111887370

Thus, we can understand that the LCM of 674,765,217,217 is 111887370.

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

• LCM of 974, 722, 211, 746
• LCM of 979, 194, 361, 148
• LCM of 935, 203, 984, 761
• LCM of 901, 818, 185, 344
• LCM of 232, 535, 655, 116

1. What is the LCM of 674, 765, 217, 217?

Answer: LCM of 674, 765, 217, 217 is 111887370.

2. How to calculate the LCM of 674, 765, 217, 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 674, 765, 217, 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}.