Given numbers are 762,568,152,214

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

The LCM of 762,568,152,214 is 439957464.

Find LCM of 762,568,152,214 with Prime Factorization

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

2 x 2 x 2 x 381 x 71 x 19 x 107 = 439957464

Therefore, the lowest common multiple of 762,568,152,214 is 439957464.

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.

762 x 568 x 152 x 214 = 14078638848

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

568 : 1, 2, 4, 8, 71, 142, 284, 568

152 : 1, 2, 4, 8, 19, 38, 76, 152

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,568,152,214, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

568:2x 2x 2x 71

152:2x 2x 2x 19

214:2x 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 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 = 14078638848/(2x16)

LCM = 14078638848/32

LCM = 439957464

Thus, we can understand that the LCM of 762,568,152,214 is 439957464.

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

• LCM of 516, 455, 142, 781
• LCM of 435, 546, 700, 218
• LCM of 749, 147, 822, 931
• LCM of 283, 499, 932, 702
• LCM of 180, 476, 458, 162

1. What is the LCM of 762, 568, 152, 214?

Answer: LCM of 762, 568, 152, 214 is 439957464.

2. How to calculate the LCM of 762, 568, 152, 214?

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 762, 568, 152, 214.

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}.