Given numbers are 978,372,167,214

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

The LCM of 978,372,167,214 is 1083504684.

Find LCM of 978,372,167,214 with Prime Factorization

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

2 x 3 x 163 x 62 x 167 x 107 = 1083504684

Therefore, the lowest common multiple of 978,372,167,214 is 1083504684.

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 372 x 167 x 214 = 13002056208

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

167 : 1, 167

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,372,167,214, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

372:2x 2x 3x 31

167:167

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13002056208/(1x12)

LCM = 13002056208/12

LCM = 1083504684

Thus, we can understand that the LCM of 978,372,167,214 is 1083504684.

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

• LCM of 522, 895, 143, 600
• LCM of 181, 831, 350, 593
• LCM of 383, 122, 822, 296
• LCM of 803, 618, 470, 347
• LCM of 940, 765, 777, 626

1. What is the LCM of 978, 372, 167, 214?

Answer: LCM of 978, 372, 167, 214 is 1083504684.

2. How to calculate the LCM of 978, 372, 167, 214?

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, 372, 167, 214.

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}.