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LCM of 232, 988, 234, 485, 127

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 232, 988, 234, 485, 127 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 232, 988, 234, 485, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,988,234,485,127

Given numbers are 232,988,234,485,127

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

The LCM of 232,988,234,485,127 is 31766758920.

Find LCM of 232,988,234,485,127 with Prime Factorization


2 232, 988, 234, 485, 127
2 116, 494, 117, 485, 127
13 58, 247, 117, 485, 127
58, 19, 9, 485, 127

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

2 x 2 x 13 x 58 x 19 x 9 x 485 x 127 = 31766758920

Therefore, the lowest common multiple of 232,988,234,485,127 is 31766758920.

LCM Formula to Find Lowest Common Multiple of 232,988,234,485,127

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.

232 x 988 x 234 x 485 x 127 = 3303742927680

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

485 : 1, 5, 97, 485

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,988,234,485,127, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

988:2x 2x 13x 19

234:2x 3x 3x 13

485:5x 97

127:127

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 13 = 104

Therefore, the value for common factors is 104.

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 = 3303742927680/(1x104)

LCM = 3303742927680/104

LCM = 31766758920

Thus, we can understand that the LCM of 232,988,234,485,127 is 31766758920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 988, 234, 485, 127

1. What is the LCM of 232, 988, 234, 485, 127?

Answer: LCM of 232, 988, 234, 485, 127 is 31766758920.

2. How to calculate the LCM of 232, 988, 234, 485, 127?

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 232, 988, 234, 485, 127.

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}.