Given numbers are 291,377,990,974

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

The LCM of 291,377,990,974 is 17631011970.

Find LCM of 291,377,990,974 with Prime Factorization

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

2 x 3 x 97 x 377 x 165 x 487 = 17631011970

Therefore, the lowest common multiple of 291,377,990,974 is 17631011970.

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.

291 x 377 x 990 x 974 = 105786071820

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.

291 : 1, 3, 97, 291

377 : 1, 13, 29, 377

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,377,990,974, is 1.

Now, the common factors can be found like this.

291:3x 97

377:13x 29

990:2x 3x 3x 5x 11

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 3 = 6

Therefore, the value for common factors is 6.

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 = 105786071820/(1x6)

LCM = 105786071820/6

LCM = 17631011970

Thus, we can understand that the LCM of 291,377,990,974 is 17631011970.

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

• LCM of 831, 453, 338, 749
• LCM of 324, 500, 504, 907
• LCM of 925, 232, 703, 200
• LCM of 891, 659, 713, 155
• LCM of 105, 891, 362, 356

1. What is the LCM of 291, 377, 990, 974?

Answer: LCM of 291, 377, 990, 974 is 17631011970.

2. How to calculate the LCM of 291, 377, 990, 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 291, 377, 990, 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}.