Given numbers are 364,874,614

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

The LCM of 364,874,614 is 48833876.

Find LCM of 364,874,614 with Prime Factorization

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

2 x 182 x 437 x 307 = 48833876

Therefore, the lowest common multiple of 364,874,614 is 48833876.

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.

364 x 874 x 614 = 195335504

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

874 : 1, 2, 19, 23, 38, 46, 437, 874

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,874,614, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

874:2x 19x 23

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 195335504/(2x2)

LCM = 195335504/4

LCM = 48833876

Thus, we can understand that the LCM of 364,874,614 is 48833876.

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

• LCM of 847, 911, 119
• LCM of 904, 321, 366
• LCM of 883, 837, 925
• LCM of 937, 651, 927
• LCM of 275, 132, 698

1. What is the LCM of 364, 874, 614?

Answer: LCM of 364, 874, 614 is 48833876.

2. How to calculate the LCM of 364, 874, 614?

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 364, 874, 614.

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}.