Given numbers are 202,706,468,750,314

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

The LCM of 202,706,468,750,314 is 327454978500.

Find LCM of 202,706,468,750,314 with Prime Factorization

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

2 x 3 x 101 x 353 x 78 x 125 x 157 = 327454978500

Therefore, the lowest common multiple of 202,706,468,750,314 is 327454978500.

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.

202 x 706 x 468 x 750 x 314 = 15717838968000

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.

202 : 1, 2, 101, 202

706 : 1, 2, 353, 706

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,706,468,750,314, is 2.

Now, the common factors can be found like this.

202:2x 101

706:2x 353

468:2x 2x 3x 3x 13

750:2x 3x 5x 5x 5

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 15717838968000/(2x24)

LCM = 15717838968000/48

LCM = 327454978500

Thus, we can understand that the LCM of 202,706,468,750,314 is 327454978500.

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

• LCM of 882, 215, 507, 194, 747
• LCM of 774, 391, 172, 883, 355
• LCM of 757, 863, 725, 842, 610
• LCM of 522, 345, 464, 307, 325
• LCM of 424, 359, 561, 420, 791

1. What is the LCM of 202, 706, 468, 750, 314?

Answer: LCM of 202, 706, 468, 750, 314 is 327454978500.

2. How to calculate the LCM of 202, 706, 468, 750, 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 202, 706, 468, 750, 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}.