Given numbers are 940,814,214,909,214

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

The LCM of 940,814,214,909,214 is 37210878540.

Find LCM of 940,814,214,909,214 with Prime Factorization

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

2 x 107 x 470 x 407 x 1 x 909 x 1 = 37210878540

Therefore, the lowest common multiple of 940,814,214,909,214 is 37210878540.

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 814 x 214 x 909 x 214 = 31852512030240

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

214 : 1, 2, 107, 214

909 : 1, 3, 9, 101, 303, 909

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,814,214,909,214, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

814:2x 11x 37

214:2x 107

909:3x 3x 101

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 2x 107 = 856

Therefore, the value for common factors is 856.

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 = 31852512030240/(1x856)

LCM = 31852512030240/856

LCM = 37210878540

Thus, we can understand that the LCM of 940,814,214,909,214 is 37210878540.

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

• LCM of 747, 457, 563, 802, 802
• LCM of 156, 367, 561, 880, 852
• LCM of 908, 779, 860, 702, 521
• LCM of 802, 221, 214, 285, 445
• LCM of 852, 555, 630, 588, 829

1. What is the LCM of 940, 814, 214, 909, 214?

Answer: LCM of 940, 814, 214, 909, 214 is 37210878540.

2. How to calculate the LCM of 940, 814, 214, 909, 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, 814, 214, 909, 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}.