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LCM of 987, 867, 741, 284, 103

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


Find the LCM of 987, 867, 741, 284, 103 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, 867, 741, 284, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,867,741,284,103

Given numbers are 987,867,741,284,103

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

The LCM of 987,867,741,284,103 is 2060950274292.

Find LCM of 987,867,741,284,103 with Prime Factorization


3 987, 867, 741, 284, 103
329, 289, 247, 284, 103

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

3 x 329 x 289 x 247 x 284 x 103 = 2060950274292

Therefore, the lowest common multiple of 987,867,741,284,103 is 2060950274292.

LCM Formula to Find Lowest Common Multiple of 987,867,741,284,103

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 867 x 741 x 284 x 103 = 18548552468628

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

867 : 1, 3, 17, 51, 289, 867

741 : 1, 3, 13, 19, 39, 57, 247, 741

284 : 1, 2, 4, 71, 142, 284

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,867,741,284,103, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

867:3x 17x 17

741:3x 13x 19

284:2x 2x 71

103:103

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 = 18548552468628/(1x9)

LCM = 18548552468628/9

LCM = 2060950274292

Thus, we can understand that the LCM of 987,867,741,284,103 is 2060950274292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 867, 741, 284, 103

1. What is the LCM of 987, 867, 741, 284, 103?

Answer: LCM of 987, 867, 741, 284, 103 is 2060950274292.

2. How to calculate the LCM of 987, 867, 741, 284, 103?

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, 867, 741, 284, 103.

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}.