Given numbers are 312,209,703

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

The LCM of 312,209,703 is 2412696.

Find LCM of 312,209,703 with Prime Factorization

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

19 x 312 x 11 x 37 = 2412696

Therefore, the lowest common multiple of 312,209,703 is 2412696.

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.

312 x 209 x 703 = 45841224

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

209 : 1, 11, 19, 209

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,209,703, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

209:11x 19

703:19x 37

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

19 = 19

Therefore, the value for common factors is 19.

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 = 45841224/(1x19)

LCM = 45841224/19

LCM = 2412696

Thus, we can understand that the LCM of 312,209,703 is 2412696.

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

• LCM of 909, 582, 398
• LCM of 610, 801, 682
• LCM of 387, 875, 117
• LCM of 602, 670, 886
• LCM of 864, 726, 208

1. What is the LCM of 312, 209, 703?

Answer: LCM of 312, 209, 703 is 2412696.

2. How to calculate the LCM of 312, 209, 703?

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 312, 209, 703.

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}.