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LCM of 287, 269, 551, 538

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


Find the LCM of 287, 269, 551, 538 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 287, 269, 551, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,269,551,538

Given numbers are 287,269,551,538

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

The LCM of 287,269,551,538 is 85077706.

Find LCM of 287,269,551,538 with Prime Factorization


269 287, 269, 551, 538
287, 1, 551, 2

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

269 x 287 x 1 x 551 x 2 = 85077706

Therefore, the lowest common multiple of 287,269,551,538 is 85077706.

LCM Formula to Find Lowest Common Multiple of 287,269,551,538

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.

287 x 269 x 551 x 538 = 22885902914

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.

287 : 1, 7, 41, 287

269 : 1, 269

551 : 1, 19, 29, 551

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,269,551,538, is 1.

Now, the common factors can be found like this.

287:7x 41

269:269

551:19x 29

538:2x 269

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

269 = 269

Therefore, the value for common factors is 269.

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 = 22885902914/(1x269)

LCM = 22885902914/269

LCM = 85077706

Thus, we can understand that the LCM of 287,269,551,538 is 85077706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 269, 551, 538

1. What is the LCM of 287, 269, 551, 538?

Answer: LCM of 287, 269, 551, 538 is 85077706.

2. How to calculate the LCM of 287, 269, 551, 538?

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 287, 269, 551, 538.

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}.