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LCM of 548, 325, 274, 21

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


Find the LCM of 548, 325, 274, 21 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, 325, 274, 21. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,325,274,21

Given numbers are 548,325,274,21

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

The LCM of 548,325,274,21 is 3740100.

Find LCM of 548,325,274,21 with Prime Factorization


2 548, 325, 274, 21
137 274, 325, 137, 21
2, 325, 1, 21

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

2 x 137 x 2 x 325 x 1 x 21 = 3740100

Therefore, the lowest common multiple of 548,325,274,21 is 3740100.

LCM Formula to Find Lowest Common Multiple of 548,325,274,21

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 325 x 274 x 21 = 1024787400

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

325 : 1, 5, 13, 25, 65, 325

274 : 1, 2, 137, 274

21 : 1, 3, 7, 21

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,325,274,21, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

325:5x 5x 13

274:2x 137

21:3x 7

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

2x 137 = 274

Therefore, the value for common factors is 274.

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 = 1024787400/(1x274)

LCM = 1024787400/274

LCM = 3740100

Thus, we can understand that the LCM of 548,325,274,21 is 3740100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 325, 274, 21

1. What is the LCM of 548, 325, 274, 21?

Answer: LCM of 548, 325, 274, 21 is 3740100.

2. How to calculate the LCM of 548, 325, 274, 21?

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, 325, 274, 21.

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}.