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LCM of 548, 823, 694, 716

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


Find the LCM of 548, 823, 694, 716 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 548, 823, 694, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,823,694,716

Given numbers are 548,823,694,716

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

The LCM of 548,823,694,716 is 28013211452.

Find LCM of 548,823,694,716 with Prime Factorization


2 548, 823, 694, 716
2 274, 823, 347, 358
137, 823, 347, 179

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

2 x 2 x 137 x 823 x 347 x 179 = 28013211452

Therefore, the lowest common multiple of 548,823,694,716 is 28013211452.

LCM Formula to Find Lowest Common Multiple of 548,823,694,716

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.

548 x 823 x 694 x 716 = 224105691616

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.

548 : 1, 2, 4, 137, 274, 548

823 : 1, 823

694 : 1, 2, 347, 694

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,823,694,716, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

823:823

694:2x 347

716:2x 2x 179

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 2 = 8

Therefore, the value for common factors is 8.

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 = 224105691616/(1x8)

LCM = 224105691616/8

LCM = 28013211452

Thus, we can understand that the LCM of 548,823,694,716 is 28013211452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 823, 694, 716

1. What is the LCM of 548, 823, 694, 716?

Answer: LCM of 548, 823, 694, 716 is 28013211452.

2. How to calculate the LCM of 548, 823, 694, 716?

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 548, 823, 694, 716.

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}.