Given numbers are 532,116,314,668

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

The LCM of 532,116,314,668 is 404506732.

Find LCM of 532,116,314,668 with Prime Factorization

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

2 x 2 x 133 x 29 x 157 x 167 = 404506732

Therefore, the lowest common multiple of 532,116,314,668 is 404506732.

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.

532 x 116 x 314 x 668 = 12944215424

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.

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

116 : 1, 2, 4, 29, 58, 116

314 : 1, 2, 157, 314

668 : 1, 2, 4, 167, 334, 668

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,116,314,668, is 2.

Now, the common factors can be found like this.

532:2x 2x 7x 19

116:2x 2x 29

314:2x 157

668:2x 2x 167

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 12944215424/(2x16)

LCM = 12944215424/32

LCM = 404506732

Thus, we can understand that the LCM of 532,116,314,668 is 404506732.

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

• LCM of 651, 185, 911, 238
• LCM of 976, 549, 308, 265
• LCM of 200, 226, 490, 974
• LCM of 940, 892, 198, 322
• LCM of 401, 578, 758, 462

1. What is the LCM of 532, 116, 314, 668?

Answer: LCM of 532, 116, 314, 668 is 404506732.

2. How to calculate the LCM of 532, 116, 314, 668?

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 532, 116, 314, 668.

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}.