Given numbers are 116,167,361,171,988

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

The LCM of 116,167,361,171,988 is 818215164.

Find LCM of 116,167,361,171,988 with Prime Factorization

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

2 x 2 x 19 x 29 x 167 x 19 x 9 x 13 = 818215164

Therefore, the lowest common multiple of 116,167,361,171,988 is 818215164.

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.

116 x 167 x 361 x 171 x 988 = 1181502696816

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.

116 : 1, 2, 4, 29, 58, 116

167 : 1, 167

361 : 1, 19, 361

171 : 1, 3, 9, 19, 57, 171

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,167,361,171,988, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

167:167

361:19x 19

171:3x 3x 19

988:2x 2x 13x 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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 1181502696816/(1x1444)

LCM = 1181502696816/1444

LCM = 818215164

Thus, we can understand that the LCM of 116,167,361,171,988 is 818215164.

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

• LCM of 684, 924, 804, 619, 284
• LCM of 573, 113, 784, 134, 149
• LCM of 728, 623, 299, 978, 425
• LCM of 664, 394, 976, 340, 940
• LCM of 128, 113, 212, 360, 793

1. What is the LCM of 116, 167, 361, 171, 988?

Answer: LCM of 116, 167, 361, 171, 988 is 818215164.

2. How to calculate the LCM of 116, 167, 361, 171, 988?

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 116, 167, 361, 171, 988.

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}.