Given numbers are 891,918,873,945

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

The LCM of 891,918,873,945 is 102848130.

Find LCM of 891,918,873,945 with Prime Factorization

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

3 x 3 x 3 x 33 x 34 x 97 x 35 = 102848130

Therefore, the lowest common multiple of 891,918,873,945 is 102848130.

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.

891 x 918 x 873 x 945 = 674786580930

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

873 : 1, 3, 9, 97, 291, 873

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,918,873,945, is 9.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

918:2x 3x 3x 3x 17

873:3x 3x 97

945:3x 3x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 3x 3 = 729

Therefore, the value for common factors is 729.

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 = 674786580930/(9x729)

LCM = 674786580930/6561

LCM = 102848130

Thus, we can understand that the LCM of 891,918,873,945 is 102848130.

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

• LCM of 543, 499, 992, 649
• LCM of 305, 193, 271, 850
• LCM of 700, 269, 449, 954
• LCM of 595, 327, 387, 735
• LCM of 274, 910, 530, 169

1. What is the LCM of 891, 918, 873, 945?

Answer: LCM of 891, 918, 873, 945 is 102848130.

2. How to calculate the LCM of 891, 918, 873, 945?

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 891, 918, 873, 945.

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}.