Given numbers are 766,212,314

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

The LCM of 766,212,314 is 12747772.

Find LCM of 766,212,314 with Prime Factorization

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

2 x 383 x 106 x 157 = 12747772

Therefore, the lowest common multiple of 766,212,314 is 12747772.

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.

766 x 212 x 314 = 50991088

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.

766 : 1, 2, 383, 766

212 : 1, 2, 4, 53, 106, 212

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,212,314, is 2.

Now, the common factors can be found like this.

766:2x 383

212:2x 2x 53

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.

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 = 50991088/(2x2)

LCM = 50991088/4

LCM = 12747772

Thus, we can understand that the LCM of 766,212,314 is 12747772.

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

• LCM of 372, 129, 172
• LCM of 703, 107, 475
• LCM of 402, 583, 177
• LCM of 169, 723, 201
• LCM of 995, 919, 121

1. What is the LCM of 766, 212, 314?

Answer: LCM of 766, 212, 314 is 12747772.

2. How to calculate the LCM of 766, 212, 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 766, 212, 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}.