Given numbers are 400,854,494

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

The LCM of 400,854,494 is 42187600.

Find LCM of 400,854,494 with Prime Factorization

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

2 x 200 x 427 x 247 = 42187600

Therefore, the lowest common multiple of 400,854,494 is 42187600.

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.

400 x 854 x 494 = 168750400

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

854 : 1, 2, 7, 14, 61, 122, 427, 854

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,854,494, is 2.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

854:2x 7x 61

494:2x 13x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 168750400/(2x2)

LCM = 168750400/4

LCM = 42187600

Thus, we can understand that the LCM of 400,854,494 is 42187600.

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

• LCM of 692, 297, 513
• LCM of 851, 468, 300
• LCM of 630, 813, 286
• LCM of 104, 149, 453
• LCM of 830, 655, 859

1. What is the LCM of 400, 854, 494?

Answer: LCM of 400, 854, 494 is 42187600.

2. How to calculate the LCM of 400, 854, 494?

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 400, 854, 494.

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}.