Given numbers are 988,212,167,360,532

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

The LCM of 988,212,167,360,532 is 5509216440.

Find LCM of 988,212,167,360,532 with Prime Factorization

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

2 x 2 x 19 x 13 x 53 x 167 x 90 x 7 = 5509216440

Therefore, the lowest common multiple of 988,212,167,360,532 is 5509216440.

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.

988 x 212 x 167 x 360 x 532 = 6699207191040

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

212 : 1, 2, 4, 53, 106, 212

167 : 1, 167

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,212,167,360,532, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

212:2x 2x 53

167:167

360:2x 2x 2x 3x 3x 5

532:2x 2x 7x 19

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 2x 2x 2x 19 = 1216

Therefore, the value for common factors is 1216.

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 = 6699207191040/(1x1216)

LCM = 6699207191040/1216

LCM = 5509216440

Thus, we can understand that the LCM of 988,212,167,360,532 is 5509216440.

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

• LCM of 427, 483, 881, 540, 359
• LCM of 596, 450, 385, 878, 130
• LCM of 851, 917, 663, 794, 189
• LCM of 785, 290, 770, 150, 806
• LCM of 902, 144, 911, 433, 172

1. What is the LCM of 988, 212, 167, 360, 532?

Answer: LCM of 988, 212, 167, 360, 532 is 5509216440.

2. How to calculate the LCM of 988, 212, 167, 360, 532?

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 988, 212, 167, 360, 532.

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}.