Given numbers are 100,170,489,469

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

The LCM of 100,170,489,469 is 389879700.

Find LCM of 100,170,489,469 with Prime Factorization

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

2 x 5 x 10 x 17 x 489 x 469 = 389879700

Therefore, the lowest common multiple of 100,170,489,469 is 389879700.

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.

100 x 170 x 489 x 469 = 3898797000

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

170 : 1, 2, 5, 10, 17, 34, 85, 170

489 : 1, 3, 163, 489

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,170,489,469, is 1.

Now, the common factors can be found like this.

100:2x 2x 5x 5

170:2x 5x 17

489:3x 163

469:7x 67

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 3898797000/(1x10)

LCM = 3898797000/10

LCM = 389879700

Thus, we can understand that the LCM of 100,170,489,469 is 389879700.

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

• LCM of 656, 670, 778, 410
• LCM of 493, 419, 865, 407
• LCM of 973, 335, 846, 726
• LCM of 736, 908, 682, 434
• LCM of 571, 659, 782, 501

1. What is the LCM of 100, 170, 489, 469?

Answer: LCM of 100, 170, 489, 469 is 389879700.

2. How to calculate the LCM of 100, 170, 489, 469?

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 100, 170, 489, 469.

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}.