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LCM of 987, 209, 254, 493, 165

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


Find the LCM of 987, 209, 254, 493, 165 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, 209, 254, 493, 165. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,209,254,493,165

Given numbers are 987,209,254,493,165

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

The LCM of 987,209,254,493,165 is 129155849130.

Find LCM of 987,209,254,493,165 with Prime Factorization


3 987, 209, 254, 493, 165
11 329, 209, 254, 493, 55
329, 19, 254, 493, 5

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

3 x 11 x 329 x 19 x 254 x 493 x 5 = 129155849130

Therefore, the lowest common multiple of 987,209,254,493,165 is 129155849130.

LCM Formula to Find Lowest Common Multiple of 987,209,254,493,165

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 209 x 254 x 493 x 165 = 4262143021290

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

209 : 1, 11, 19, 209

254 : 1, 2, 127, 254

493 : 1, 17, 29, 493

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,209,254,493,165, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

209:11x 19

254:2x 127

493:17x 29

165:3x 5x 11

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 4262143021290/(1x33)

LCM = 4262143021290/33

LCM = 129155849130

Thus, we can understand that the LCM of 987,209,254,493,165 is 129155849130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 209, 254, 493, 165

1. What is the LCM of 987, 209, 254, 493, 165?

Answer: LCM of 987, 209, 254, 493, 165 is 129155849130.

2. How to calculate the LCM of 987, 209, 254, 493, 165?

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, 209, 254, 493, 165.

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}.