Given numbers are 918,936,291,974

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

The LCM of 918,936,291,974 is 2255000904.

Find LCM of 918,936,291,974 with Prime Factorization

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

2 x 3 x 3 x 51 x 52 x 97 x 487 = 2255000904

Therefore, the lowest common multiple of 918,936,291,974 is 2255000904.

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.

918 x 936 x 291 x 974 = 243540097632

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.

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

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

291 : 1, 3, 97, 291

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,936,291,974, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

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

291:3x 97

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 243540097632/(1x108)

LCM = 243540097632/108

LCM = 2255000904

Thus, we can understand that the LCM of 918,936,291,974 is 2255000904.

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

• LCM of 499, 611, 339, 210
• LCM of 964, 805, 415, 337
• LCM of 108, 978, 397, 464
• LCM of 587, 227, 164, 982
• LCM of 591, 386, 239, 306

1. What is the LCM of 918, 936, 291, 974?

Answer: LCM of 918, 936, 291, 974 is 2255000904.

2. How to calculate the LCM of 918, 936, 291, 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 918, 936, 291, 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}.