Given numbers are 940,424,221,214

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

The LCM of 940,424,221,214 is 2356187080.

Find LCM of 940,424,221,214 with Prime Factorization

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

2 x 2 x 235 x 106 x 221 x 107 = 2356187080

Therefore, the lowest common multiple of 940,424,221,214 is 2356187080.

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.

940 x 424 x 221 x 214 = 18849496640

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

424 : 1, 2, 4, 8, 53, 106, 212, 424

221 : 1, 13, 17, 221

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,424,221,214, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

424:2x 2x 2x 53

221:13x 17

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 18849496640/(1x8)

LCM = 18849496640/8

LCM = 2356187080

Thus, we can understand that the LCM of 940,424,221,214 is 2356187080.

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

• LCM of 744, 276, 407, 803
• LCM of 216, 738, 704, 129
• LCM of 452, 720, 702, 386
• LCM of 234, 442, 802, 426
• LCM of 860, 122, 822, 905

1. What is the LCM of 940, 424, 221, 214?

Answer: LCM of 940, 424, 221, 214 is 2356187080.

2. How to calculate the LCM of 940, 424, 221, 214?

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 940, 424, 221, 214.

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}.