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LCM of 397, 213, 546

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


Find the LCM of 397, 213, 546 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, 213, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,213,546

Given numbers are 397,213,546

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

The LCM of 397,213,546 is 15390102.

Find LCM of 397,213,546 with Prime Factorization


3 397, 213, 546
397, 71, 182

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

3 x 397 x 71 x 182 = 15390102

Therefore, the lowest common multiple of 397,213,546 is 15390102.

LCM Formula to Find Lowest Common Multiple of 397,213,546

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 213 x 546 = 46170306

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

213 : 1, 3, 71, 213

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,213,546, is 1.

Now, the common factors can be found like this.

397:397

213:3x 71

546:2x 3x 7x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 46170306/(1x3)

LCM = 46170306/3

LCM = 15390102

Thus, we can understand that the LCM of 397,213,546 is 15390102.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 397, 213, 546

1. What is the LCM of 397, 213, 546?

Answer: LCM of 397, 213, 546 is 15390102.

2. How to calculate the LCM of 397, 213, 546?

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, 213, 546.

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}.