Given numbers are 427,244,792,167,978

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

The LCM of 427,244,792,167,978 is 9205706664.

Find LCM of 427,244,792,167,978 with Prime Factorization

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

2 x 2 x 3 x 61 x 7 x 1 x 66 x 167 x 163 = 9205706664

Therefore, the lowest common multiple of 427,244,792,167,978 is 9205706664.

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.

427 x 244 x 792 x 167 x 978 = 13477154556096

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.

427 : 1, 7, 61, 427

244 : 1, 2, 4, 61, 122, 244

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

167 : 1, 167

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,244,792,167,978, is 1.

Now, the common factors can be found like this.

427:7x 61

244:2x 2x 61

792:2x 2x 2x 3x 3x 11

167:167

978:2x 3x 163

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 3x 61 = 1464

Therefore, the value for common factors is 1464.

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 = 13477154556096/(1x1464)

LCM = 13477154556096/1464

LCM = 9205706664

Thus, we can understand that the LCM of 427,244,792,167,978 is 9205706664.

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

• LCM of 228, 237, 706, 676, 819
• LCM of 957, 160, 809, 812, 664
• LCM of 374, 105, 533, 364, 745
• LCM of 776, 366, 602, 187, 988
• LCM of 145, 965, 360, 299, 152

1. What is the LCM of 427, 244, 792, 167, 978?

Answer: LCM of 427, 244, 792, 167, 978 is 9205706664.

2. How to calculate the LCM of 427, 244, 792, 167, 978?

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 427, 244, 792, 167, 978.

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}.