Given numbers are 312,268,104,739

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

The LCM of 312,268,104,739 is 15448056.

Find LCM of 312,268,104,739 with Prime Factorization

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

2 x 2 x 2 x 13 x 3 x 67 x 1 x 739 = 15448056

Therefore, the lowest common multiple of 312,268,104,739 is 15448056.

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 268 x 104 x 739 = 6426391296

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

268 : 1, 2, 4, 67, 134, 268

104 : 1, 2, 4, 8, 13, 26, 52, 104

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,268,104,739, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

268:2x 2x 67

104:2x 2x 2x 13

739:739

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 6426391296/(1x416)

LCM = 6426391296/416

LCM = 15448056

Thus, we can understand that the LCM of 312,268,104,739 is 15448056.

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

• LCM of 305, 775, 672, 535
• LCM of 338, 849, 334, 843
• LCM of 213, 337, 380, 693
• LCM of 427, 905, 124, 444
• LCM of 217, 711, 625, 846

1. What is the LCM of 312, 268, 104, 739?

Answer: LCM of 312, 268, 104, 739 is 15448056.

2. How to calculate the LCM of 312, 268, 104, 739?

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, 268, 104, 739.

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}.