Given numbers are 504,107,552,211

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

The LCM of 504,107,552,211 is 261712584.

Find LCM of 504,107,552,211 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 107 x 23 x 211 = 261712584

Therefore, the lowest common multiple of 504,107,552,211 is 261712584.

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 107 x 552 x 211 = 6281102016

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

107 : 1, 107

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,107,552,211, is 1.

Now, the common factors can be found like this.

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

107:107

552:2x 2x 2x 3x 23

211:211

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6281102016/(1x24)

LCM = 6281102016/24

LCM = 261712584

Thus, we can understand that the LCM of 504,107,552,211 is 261712584.

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

• LCM of 152, 996, 480, 509
• LCM of 641, 312, 267, 320
• LCM of 929, 146, 786, 883
• LCM of 229, 400, 818, 369
• LCM of 740, 683, 554, 637

1. What is the LCM of 504, 107, 552, 211?

Answer: LCM of 504, 107, 552, 211 is 261712584.

2. How to calculate the LCM of 504, 107, 552, 211?

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, 107, 552, 211.

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}.