Given numbers are 249,303,387,978,319

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

The LCM of 249,303,387,978,319 is 337379518674.

Find LCM of 249,303,387,978,319 with Prime Factorization

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

3 x 83 x 101 x 129 x 326 x 319 = 337379518674

Therefore, the lowest common multiple of 249,303,387,978,319 is 337379518674.

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.

249 x 303 x 387 x 978 x 319 = 9109247004198

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.

249 : 1, 3, 83, 249

303 : 1, 3, 101, 303

387 : 1, 3, 9, 43, 129, 387

978 : 1, 2, 3, 6, 163, 326, 489, 978

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,303,387,978,319, is 1.

Now, the common factors can be found like this.

249:3x 83

303:3x 101

387:3x 3x 43

978:2x 3x 163

319:11x 29

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 9109247004198/(1x27)

LCM = 9109247004198/27

LCM = 337379518674

Thus, we can understand that the LCM of 249,303,387,978,319 is 337379518674.

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

• LCM of 568, 416, 147, 860, 858
• LCM of 837, 847, 398, 657, 630
• LCM of 645, 978, 506, 444, 399
• LCM of 862, 954, 494, 345, 181
• LCM of 827, 846, 390, 534, 469

1. What is the LCM of 249, 303, 387, 978, 319?

Answer: LCM of 249, 303, 387, 978, 319 is 337379518674.

2. How to calculate the LCM of 249, 303, 387, 978, 319?

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 249, 303, 387, 978, 319.

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}.