Given numbers are 314,463,314,356

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

The LCM of 314,463,314,356 is 25877996.

Find LCM of 314,463,314,356 with Prime Factorization

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

2 x 157 x 1 x 463 x 1 x 178 = 25877996

Therefore, the lowest common multiple of 314,463,314,356 is 25877996.

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.

314 x 463 x 314 x 356 = 16251381488

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.

314 : 1, 2, 157, 314

463 : 1, 463

314 : 1, 2, 157, 314

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,463,314,356, is 1.

Now, the common factors can be found like this.

314:2x 157

463:463

314:2x 157

356:2x 2x 89

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 157 = 628

Therefore, the value for common factors is 628.

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 = 16251381488/(1x628)

LCM = 16251381488/628

LCM = 25877996

Thus, we can understand that the LCM of 314,463,314,356 is 25877996.

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

• LCM of 872, 988, 823, 139
• LCM of 331, 511, 227, 518
• LCM of 841, 699, 606, 233
• LCM of 144, 507, 317, 314
• LCM of 987, 537, 936, 362

1. What is the LCM of 314, 463, 314, 356?

Answer: LCM of 314, 463, 314, 356 is 25877996.

2. How to calculate the LCM of 314, 463, 314, 356?

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 314, 463, 314, 356.

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}.