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LCM of 618, 412, 197

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


Find the LCM of 618, 412, 197 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 618, 412, 197. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,412,197

Given numbers are 618,412,197

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

The LCM of 618,412,197 is 243492.

Find LCM of 618,412,197 with Prime Factorization


2 618, 412, 197
103 309, 206, 197
3, 2, 197

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

2 x 103 x 3 x 2 x 197 = 243492

Therefore, the lowest common multiple of 618,412,197 is 243492.

LCM Formula to Find Lowest Common Multiple of 618,412,197

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.

618 x 412 x 197 = 50159352

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.

618 : 1, 2, 3, 6, 103, 206, 309, 618

412 : 1, 2, 4, 103, 206, 412

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,412,197, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

412:2x 2x 103

197:197

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 50159352/(1x206)

LCM = 50159352/206

LCM = 243492

Thus, we can understand that the LCM of 618,412,197 is 243492.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 618, 412, 197

1. What is the LCM of 618, 412, 197?

Answer: LCM of 618, 412, 197 is 243492.

2. How to calculate the LCM of 618, 412, 197?

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 618, 412, 197.

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}.