Given numbers are 214,759,212,981

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

The LCM of 214,759,212,981 is 5630010012.

Find LCM of 214,759,212,981 with Prime Factorization

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

2 x 3 x 107 x 253 x 106 x 327 = 5630010012

Therefore, the lowest common multiple of 214,759,212,981 is 5630010012.

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.

214 x 759 x 212 x 981 = 33780060072

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.

214 : 1, 2, 107, 214

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,759,212,981, is 1.

Now, the common factors can be found like this.

214:2x 107

759:3x 11x 23

212:2x 2x 53

981:3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 33780060072/(1x6)

LCM = 33780060072/6

LCM = 5630010012

Thus, we can understand that the LCM of 214,759,212,981 is 5630010012.

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

• LCM of 306, 833, 187, 182
• LCM of 720, 875, 513, 553
• LCM of 418, 878, 659, 477
• LCM of 971, 191, 431, 822
• LCM of 869, 809, 398, 715

1. What is the LCM of 214, 759, 212, 981?

Answer: LCM of 214, 759, 212, 981 is 5630010012.

2. How to calculate the LCM of 214, 759, 212, 981?

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 214, 759, 212, 981.

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}.