Given numbers are 221,494,504,679,672

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

The LCM of 221,494,504,679,672 is 821122848.

Find LCM of 221,494,504,679,672 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 17 x 19 x 3 x 97 x 4 = 821122848

Therefore, the lowest common multiple of 221,494,504,679,672 is 821122848.

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.

221 x 494 x 504 x 679 x 672 = 25106652200448

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.

221 : 1, 13, 17, 221

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

679 : 1, 7, 97, 679

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,494,504,679,672, is 1.

Now, the common factors can be found like this.

221:13x 17

494:2x 13x 19

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

679:7x 97

672:2x 2x 2x 2x 2x 3x 7

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 3x 7x 7x 13 = 30576

Therefore, the value for common factors is 30576.

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 = 25106652200448/(1x30576)

LCM = 25106652200448/30576

LCM = 821122848

Thus, we can understand that the LCM of 221,494,504,679,672 is 821122848.

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

• LCM of 276, 201, 759, 129, 295
• LCM of 794, 794, 182, 426, 484
• LCM of 183, 617, 419, 179, 208
• LCM of 290, 308, 996, 854, 300
• LCM of 947, 984, 863, 712, 403

1. What is the LCM of 221, 494, 504, 679, 672?

Answer: LCM of 221, 494, 504, 679, 672 is 821122848.

2. How to calculate the LCM of 221, 494, 504, 679, 672?

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 221, 494, 504, 679, 672.

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}.