Given numbers are 504,936,171,391

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

The LCM of 504,936,171,391 is 48674808.

Find LCM of 504,936,171,391 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 13 x 19 x 391 = 48674808

Therefore, the lowest common multiple of 504,936,171,391 is 48674808.

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.

504 x 936 x 171 x 391 = 31541275584

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

171 : 1, 3, 9, 19, 57, 171

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,936,171,391, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

936:2x 2x 2x 3x 3x 13

171:3x 3x 19

391:17x 23

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 31541275584/(1x648)

LCM = 31541275584/648

LCM = 48674808

Thus, we can understand that the LCM of 504,936,171,391 is 48674808.

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

• LCM of 689, 771, 218, 187
• LCM of 492, 338, 181, 541
• LCM of 366, 140, 673, 500
• LCM of 954, 419, 751, 164
• LCM of 380, 308, 132, 941

1. What is the LCM of 504, 936, 171, 391?

Answer: LCM of 504, 936, 171, 391 is 48674808.

2. How to calculate the LCM of 504, 936, 171, 391?

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 504, 936, 171, 391.

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}.