Given numbers are 920,458,808,744

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

The LCM of 920,458,808,744 is 1978917240.

Find LCM of 920,458,808,744 with Prime Factorization

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

2 x 2 x 2 x 115 x 229 x 101 x 93 = 1978917240

Therefore, the lowest common multiple of 920,458,808,744 is 1978917240.

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.

920 x 458 x 808 x 744 = 253301406720

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

458 : 1, 2, 229, 458

808 : 1, 2, 4, 8, 101, 202, 404, 808

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,458,808,744, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

458:2x 229

808:2x 2x 2x 101

744:2x 2x 2x 3x 31

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 253301406720/(2x64)

LCM = 253301406720/128

LCM = 1978917240

Thus, we can understand that the LCM of 920,458,808,744 is 1978917240.

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

• LCM of 924, 404, 739, 934
• LCM of 262, 498, 383, 579
• LCM of 503, 729, 588, 418
• LCM of 773, 744, 906, 427
• LCM of 157, 368, 810, 461

1. What is the LCM of 920, 458, 808, 744?

Answer: LCM of 920, 458, 808, 744 is 1978917240.

2. How to calculate the LCM of 920, 458, 808, 744?

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 920, 458, 808, 744.

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}.