Given numbers are 262,389,214,428

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

The LCM of 262,389,214,428 is 21810452.

Find LCM of 262,389,214,428 with Prime Factorization

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

2 x 107 x 131 x 389 x 1 x 2 = 21810452

Therefore, the lowest common multiple of 262,389,214,428 is 21810452.

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.

262 x 389 x 214 x 428 = 9334873456

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.

262 : 1, 2, 131, 262

389 : 1, 389

214 : 1, 2, 107, 214

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,389,214,428, is 1.

Now, the common factors can be found like this.

262:2x 131

389:389

214:2x 107

428:2x 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 107 = 428

Therefore, the value for common factors is 428.

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 = 9334873456/(1x428)

LCM = 9334873456/428

LCM = 21810452

Thus, we can understand that the LCM of 262,389,214,428 is 21810452.

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

• LCM of 577, 695, 603, 822
• LCM of 544, 462, 500, 555
• LCM of 467, 235, 942, 705
• LCM of 561, 854, 380, 593
• LCM of 963, 640, 907, 605

1. What is the LCM of 262, 389, 214, 428?

Answer: LCM of 262, 389, 214, 428 is 21810452.

2. How to calculate the LCM of 262, 389, 214, 428?

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 262, 389, 214, 428.

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}.