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LCM of 548, 353, 276, 713

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


Find the LCM of 548, 353, 276, 713 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, 353, 276, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,353,276,713

Given numbers are 548,353,276,713

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

The LCM of 548,353,276,713 is 413776716.

Find LCM of 548,353,276,713 with Prime Factorization


2 548, 353, 276, 713
2 274, 353, 138, 713
23 137, 353, 69, 713
137, 353, 3, 31

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

2 x 2 x 23 x 137 x 353 x 3 x 31 = 413776716

Therefore, the lowest common multiple of 548,353,276,713 is 413776716.

LCM Formula to Find Lowest Common Multiple of 548,353,276,713

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 353 x 276 x 713 = 38067457872

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

353 : 1, 353

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,353,276,713, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

353:353

276:2x 2x 3x 23

713:23x 31

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 23 = 92

Therefore, the value for common factors is 92.

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 = 38067457872/(1x92)

LCM = 38067457872/92

LCM = 413776716

Thus, we can understand that the LCM of 548,353,276,713 is 413776716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 353, 276, 713

1. What is the LCM of 548, 353, 276, 713?

Answer: LCM of 548, 353, 276, 713 is 413776716.

2. How to calculate the LCM of 548, 353, 276, 713?

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, 353, 276, 713.

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}.