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LCM of 287, 271, 977, 542

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


Find the LCM of 287, 271, 977, 542 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, 271, 977, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,271,977,542

Given numbers are 287,271,977,542

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

The LCM of 287,271,977,542 is 151976258.

Find LCM of 287,271,977,542 with Prime Factorization


271 287, 271, 977, 542
287, 1, 977, 2

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

271 x 287 x 1 x 977 x 2 = 151976258

Therefore, the lowest common multiple of 287,271,977,542 is 151976258.

LCM Formula to Find Lowest Common Multiple of 287,271,977,542

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 271 x 977 x 542 = 41185565918

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

271 : 1, 271

977 : 1, 977

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,271,977,542, is 1.

Now, the common factors can be found like this.

287:7x 41

271:271

977:977

542:2x 271

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

271 = 271

Therefore, the value for common factors is 271.

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 = 41185565918/(1x271)

LCM = 41185565918/271

LCM = 151976258

Thus, we can understand that the LCM of 287,271,977,542 is 151976258.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 271, 977, 542

1. What is the LCM of 287, 271, 977, 542?

Answer: LCM of 287, 271, 977, 542 is 151976258.

2. How to calculate the LCM of 287, 271, 977, 542?

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, 271, 977, 542.

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}.