Given numbers are 978,226,120,878,329

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

The LCM of 978,226,120,878,329 is 319232950680.

Find LCM of 978,226,120,878,329 with Prime Factorization

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

2 x 3 x 163 x 113 x 20 x 439 x 329 = 319232950680

Therefore, the lowest common multiple of 978,226,120,878,329 is 319232950680.

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.

978 x 226 x 120 x 878 x 329 = 7661590816320

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.

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

226 : 1, 2, 113, 226

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

878 : 1, 2, 439, 878

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,226,120,878,329, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

226:2x 113

120:2x 2x 2x 3x 5

878:2x 439

329:7x 47

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 = 7661590816320/(1x24)

LCM = 7661590816320/24

LCM = 319232950680

Thus, we can understand that the LCM of 978,226,120,878,329 is 319232950680.

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

• LCM of 284, 335, 945, 412, 648
• LCM of 896, 863, 139, 806, 172
• LCM of 286, 873, 722, 408, 826
• LCM of 579, 864, 376, 770, 173
• LCM of 548, 396, 628, 728, 511

1. What is the LCM of 978, 226, 120, 878, 329?

Answer: LCM of 978, 226, 120, 878, 329 is 319232950680.

2. How to calculate the LCM of 978, 226, 120, 878, 329?

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 978, 226, 120, 878, 329.

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}.