Given numbers are 307,168,614,208

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

The LCM of 307,168,614,208 is 1340976.

Find LCM of 307,168,614,208 with Prime Factorization

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

2 x 2 x 2 x 307 x 1 x 21 x 1 x 26 = 1340976

Therefore, the lowest common multiple of 307,168,614,208 is 1340976.

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.

307 x 168 x 614 x 208 = 6586874112

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.

307 : 1, 307

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

614 : 1, 2, 307, 614

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,168,614,208, is 1.

Now, the common factors can be found like this.

307:307

168:2x 2x 2x 3x 7

614:2x 307

208:2x 2x 2x 2x 13

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 307 = 4912

Therefore, the value for common factors is 4912.

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 = 6586874112/(1x4912)

LCM = 6586874112/4912

LCM = 1340976

Thus, we can understand that the LCM of 307,168,614,208 is 1340976.

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

• LCM of 377, 331, 955, 569
• LCM of 374, 305, 291, 900
• LCM of 382, 800, 742, 362
• LCM of 249, 952, 685, 212
• LCM of 521, 627, 309, 913

1. What is the LCM of 307, 168, 614, 208?

Answer: LCM of 307, 168, 614, 208 is 1340976.

2. How to calculate the LCM of 307, 168, 614, 208?

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 307, 168, 614, 208.

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}.