Given numbers are 755,840,308,170

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

The LCM of 755,840,308,170 is 23719080.

Find LCM of 755,840,308,170 with Prime Factorization

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

2 x 2 x 5 x 7 x 151 x 6 x 11 x 17 = 23719080

Therefore, the lowest common multiple of 755,840,308,170 is 23719080.

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.

755 x 840 x 308 x 170 = 33206712000

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.

755 : 1, 5, 151, 755

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,840,308,170, is 1.

Now, the common factors can be found like this.

755:5x 151

840:2x 2x 2x 3x 5x 7

308:2x 2x 7x 11

170:2x 5x 17

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 2x 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 33206712000/(1x1400)

LCM = 33206712000/1400

LCM = 23719080

Thus, we can understand that the LCM of 755,840,308,170 is 23719080.

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

• LCM of 327, 293, 465, 422
• LCM of 178, 478, 929, 953
• LCM of 314, 670, 208, 281
• LCM of 437, 108, 529, 976
• LCM of 702, 852, 697, 492

1. What is the LCM of 755, 840, 308, 170?

Answer: LCM of 755, 840, 308, 170 is 23719080.

2. How to calculate the LCM of 755, 840, 308, 170?

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 755, 840, 308, 170.

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}.