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LCM of 260, 536, 402, 487

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


Find the LCM of 260, 536, 402, 487 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 260, 536, 402, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,536,402,487

Given numbers are 260,536,402,487

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

The LCM of 260,536,402,487 is 50901240.

Find LCM of 260,536,402,487 with Prime Factorization


2 260, 536, 402, 487
2 130, 268, 201, 487
67 65, 134, 201, 487
65, 2, 3, 487

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

2 x 2 x 67 x 65 x 2 x 3 x 487 = 50901240

Therefore, the lowest common multiple of 260,536,402,487 is 50901240.

LCM Formula to Find Lowest Common Multiple of 260,536,402,487

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.

260 x 536 x 402 x 487 = 27283064640

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

536 : 1, 2, 4, 8, 67, 134, 268, 536

402 : 1, 2, 3, 6, 67, 134, 201, 402

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,536,402,487, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

536:2x 2x 2x 67

402:2x 3x 67

487:487

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

2x 2x 2x 67 = 536

Therefore, the value for common factors is 536.

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 = 27283064640/(1x536)

LCM = 27283064640/536

LCM = 50901240

Thus, we can understand that the LCM of 260,536,402,487 is 50901240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 536, 402, 487

1. What is the LCM of 260, 536, 402, 487?

Answer: LCM of 260, 536, 402, 487 is 50901240.

2. How to calculate the LCM of 260, 536, 402, 487?

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 260, 536, 402, 487.

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}.