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LCM of 397, 548, 411, 422

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


Find the LCM of 397, 548, 411, 422 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 397, 548, 411, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,548,411,422

Given numbers are 397,548,411,422

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

The LCM of 397,548,411,422 is 137712948.

Find LCM of 397,548,411,422 with Prime Factorization


2 397, 548, 411, 422
137 397, 274, 411, 211
397, 2, 3, 211

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

2 x 137 x 397 x 2 x 3 x 211 = 137712948

Therefore, the lowest common multiple of 397,548,411,422 is 137712948.

LCM Formula to Find Lowest Common Multiple of 397,548,411,422

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.

397 x 548 x 411 x 422 = 37733347752

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.

397 : 1, 397

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

411 : 1, 3, 137, 411

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,548,411,422, is 1.

Now, the common factors can be found like this.

397:397

548:2x 2x 137

411:3x 137

422:2x 211

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 = 37733347752/(1x274)

LCM = 37733347752/274

LCM = 137712948

Thus, we can understand that the LCM of 397,548,411,422 is 137712948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 548, 411, 422

1. What is the LCM of 397, 548, 411, 422?

Answer: LCM of 397, 548, 411, 422 is 137712948.

2. How to calculate the LCM of 397, 548, 411, 422?

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 397, 548, 411, 422.

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}.