Given numbers are 614,692,107,314

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

The LCM of 614,692,107,314 is 3568846756.

Find LCM of 614,692,107,314 with Prime Factorization

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

2 x 307 x 346 x 107 x 157 = 3568846756

Therefore, the lowest common multiple of 614,692,107,314 is 3568846756.

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.

614 x 692 x 107 x 314 = 14275387024

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.

614 : 1, 2, 307, 614

692 : 1, 2, 4, 173, 346, 692

107 : 1, 107

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,692,107,314, is 1.

Now, the common factors can be found like this.

614:2x 307

692:2x 2x 173

107:107

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14275387024/(1x4)

LCM = 14275387024/4

LCM = 3568846756

Thus, we can understand that the LCM of 614,692,107,314 is 3568846756.

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

• LCM of 534, 335, 796, 577
• LCM of 577, 649, 928, 315
• LCM of 700, 855, 915, 426
• LCM of 419, 484, 437, 460
• LCM of 701, 481, 455, 739

1. What is the LCM of 614, 692, 107, 314?

Answer: LCM of 614, 692, 107, 314 is 3568846756.

2. How to calculate the LCM of 614, 692, 107, 314?

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 614, 692, 107, 314.

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}.