Given numbers are 755,168,940,820,170

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

The LCM of 755,168,940,820,170 is 4155151560.

Find LCM of 755,168,940,820,170 with Prime Factorization

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

2 x 2 x 5 x 151 x 42 x 47 x 41 x 17 = 4155151560

Therefore, the lowest common multiple of 755,168,940,820,170 is 4155151560.

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 168 x 940 x 820 x 170 = 16620606240000

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 755,168,940,820,170, is 1.

Now, the common factors can be found like this.

755:5x 151

168:2x 2x 2x 3x 7

940:2x 2x 5x 47

820:2x 2x 5x 41

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 2x 2x 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 16620606240000/(1x4000)

LCM = 16620606240000/4000

LCM = 4155151560

Thus, we can understand that the LCM of 755,168,940,820,170 is 4155151560.

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

• LCM of 139, 183, 562, 808, 142
• LCM of 401, 141, 307, 257, 372
• LCM of 224, 959, 886, 804, 389
• LCM of 555, 788, 899, 565, 238
• LCM of 663, 104, 706, 249, 608

1. What is the LCM of 755, 168, 940, 820, 170?

Answer: LCM of 755, 168, 940, 820, 170 is 4155151560.

2. How to calculate the LCM of 755, 168, 940, 820, 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, 168, 940, 820, 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}.