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LCM of 987, 671, 267, 481, 123

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


Find the LCM of 987, 671, 267, 481, 123 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 987, 671, 267, 481, 123. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,671,267,481,123

Given numbers are 987,671,267,481,123

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

The LCM of 987,671,267,481,123 is 1162408059813.

Find LCM of 987,671,267,481,123 with Prime Factorization


3 987, 671, 267, 481, 123
329, 671, 89, 481, 41

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

3 x 329 x 671 x 89 x 481 x 41 = 1162408059813

Therefore, the lowest common multiple of 987,671,267,481,123 is 1162408059813.

LCM Formula to Find Lowest Common Multiple of 987,671,267,481,123

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.

987 x 671 x 267 x 481 x 123 = 10461672538317

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

671 : 1, 11, 61, 671

267 : 1, 3, 89, 267

481 : 1, 13, 37, 481

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,671,267,481,123, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

671:11x 61

267:3x 89

481:13x 37

123:3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 10461672538317/(1x9)

LCM = 10461672538317/9

LCM = 1162408059813

Thus, we can understand that the LCM of 987,671,267,481,123 is 1162408059813.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 671, 267, 481, 123

1. What is the LCM of 987, 671, 267, 481, 123?

Answer: LCM of 987, 671, 267, 481, 123 is 1162408059813.

2. How to calculate the LCM of 987, 671, 267, 481, 123?

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 987, 671, 267, 481, 123.

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}.