Given numbers are 170,110,128,769

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

The LCM of 170,110,128,769 is 92033920.

Find LCM of 170,110,128,769 with Prime Factorization

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

2 x 5 x 17 x 11 x 64 x 769 = 92033920

Therefore, the lowest common multiple of 170,110,128,769 is 92033920.

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.

170 x 110 x 128 x 769 = 1840678400

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.

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

128 : 1, 2, 4, 8, 16, 32, 64, 128

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,110,128,769, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

110:2x 5x 11

128:2x 2x 2x 2x 2x 2x 2

769:769

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 1840678400/(1x20)

LCM = 1840678400/20

LCM = 92033920

Thus, we can understand that the LCM of 170,110,128,769 is 92033920.

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

• LCM of 749, 250, 890, 708
• LCM of 325, 392, 129, 135
• LCM of 240, 142, 877, 116
• LCM of 936, 175, 886, 518
• LCM of 431, 332, 772, 516

1. What is the LCM of 170, 110, 128, 769?

Answer: LCM of 170, 110, 128, 769 is 92033920.

2. How to calculate the LCM of 170, 110, 128, 769?

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 170, 110, 128, 769.

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}.