Given numbers are 400,614,177,218

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

The LCM of 400,614,177,218 is 2369180400.

Find LCM of 400,614,177,218 with Prime Factorization

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

2 x 200 x 307 x 177 x 109 = 2369180400

Therefore, the lowest common multiple of 400,614,177,218 is 2369180400.

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 614 x 177 x 218 = 9476721600

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

614 : 1, 2, 307, 614

177 : 1, 3, 59, 177

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,614,177,218, is 1.

Now, the common factors can be found like this.

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

614:2x 307

177:3x 59

218:2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9476721600/(1x4)

LCM = 9476721600/4

LCM = 2369180400

Thus, we can understand that the LCM of 400,614,177,218 is 2369180400.

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

• LCM of 337, 760, 171, 212
• LCM of 942, 926, 614, 276
• LCM of 479, 443, 109, 557
• LCM of 133, 996, 875, 334
• LCM of 475, 984, 934, 742

1. What is the LCM of 400, 614, 177, 218?

Answer: LCM of 400, 614, 177, 218 is 2369180400.

2. How to calculate the LCM of 400, 614, 177, 218?

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, 614, 177, 218.

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}.