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LCM of 537, 451, 537, 676

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


Find the LCM of 537, 451, 537, 676 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 537, 451, 537, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,451,537,676

Given numbers are 537,451,537,676

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

The LCM of 537,451,537,676 is 163718412.

Find LCM of 537,451,537,676 with Prime Factorization


3 537, 451, 537, 676
179 179, 451, 179, 676
1, 451, 1, 676

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

3 x 179 x 1 x 451 x 1 x 676 = 163718412

Therefore, the lowest common multiple of 537,451,537,676 is 163718412.

LCM Formula to Find Lowest Common Multiple of 537,451,537,676

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.

537 x 451 x 537 x 676 = 87916787244

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.

537 : 1, 3, 179, 537

451 : 1, 11, 41, 451

537 : 1, 3, 179, 537

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,451,537,676, is 1.

Now, the common factors can be found like this.

537:3x 179

451:11x 41

537:3x 179

676:2x 2x 13x 13

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

3x 179 = 537

Therefore, the value for common factors is 537.

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 = 87916787244/(1x537)

LCM = 87916787244/537

LCM = 163718412

Thus, we can understand that the LCM of 537,451,537,676 is 163718412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 451, 537, 676

1. What is the LCM of 537, 451, 537, 676?

Answer: LCM of 537, 451, 537, 676 is 163718412.

2. How to calculate the LCM of 537, 451, 537, 676?

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 537, 451, 537, 676.

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}.