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LCM of 543, 695, 278, 676

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


Find the LCM of 543, 695, 278, 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 543, 695, 278, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,695,278,676

Given numbers are 543,695,278,676

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

The LCM of 543,695,278,676 is 255112260.

Find LCM of 543,695,278,676 with Prime Factorization


2 543, 695, 278, 676
139 543, 695, 139, 338
543, 5, 1, 338

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

2 x 139 x 543 x 5 x 1 x 338 = 255112260

Therefore, the lowest common multiple of 543,695,278,676 is 255112260.

LCM Formula to Find Lowest Common Multiple of 543,695,278,676

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.

543 x 695 x 278 x 676 = 70921208280

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.

543 : 1, 3, 181, 543

695 : 1, 5, 139, 695

278 : 1, 2, 139, 278

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 543,695,278,676, is 1.

Now, the common factors can be found like this.

543:3x 181

695:5x 139

278:2x 139

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.

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 70921208280/(1x278)

LCM = 70921208280/278

LCM = 255112260

Thus, we can understand that the LCM of 543,695,278,676 is 255112260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 695, 278, 676

1. What is the LCM of 543, 695, 278, 676?

Answer: LCM of 543, 695, 278, 676 is 255112260.

2. How to calculate the LCM of 543, 695, 278, 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 543, 695, 278, 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}.