Given numbers are 667,580,120,163,974

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

The LCM of 667,580,120,163,974 is 6353655240.

Find LCM of 667,580,120,163,974 with Prime Factorization

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

2 x 2 x 5 x 29 x 23 x 1 x 6 x 163 x 487 = 6353655240

Therefore, the lowest common multiple of 667,580,120,163,974 is 6353655240.

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.

667 x 580 x 120 x 163 x 974 = 7370240078400

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.

667 : 1, 23, 29, 667

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

163 : 1, 163

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,580,120,163,974, is 1.

Now, the common factors can be found like this.

667:23x 29

580:2x 2x 5x 29

120:2x 2x 2x 3x 5

163:163

974:2x 487

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 29 = 1160

Therefore, the value for common factors is 1160.

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 = 7370240078400/(1x1160)

LCM = 7370240078400/1160

LCM = 6353655240

Thus, we can understand that the LCM of 667,580,120,163,974 is 6353655240.

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

• LCM of 429, 250, 727, 499, 977
• LCM of 918, 384, 152, 213, 372
• LCM of 922, 102, 221, 437, 900
• LCM of 265, 710, 995, 952, 146
• LCM of 706, 760, 237, 902, 141

1. What is the LCM of 667, 580, 120, 163, 974?

Answer: LCM of 667, 580, 120, 163, 974 is 6353655240.

2. How to calculate the LCM of 667, 580, 120, 163, 974?

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 667, 580, 120, 163, 974.

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}.