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LCM of 105, 398, 216, 548

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


Find the LCM of 105, 398, 216, 548 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 105, 398, 216, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,398,216,548

Given numbers are 105,398,216,548

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

The LCM of 105,398,216,548 is 206108280.

Find LCM of 105,398,216,548 with Prime Factorization


2 105, 398, 216, 548
2 105, 199, 108, 274
3 105, 199, 54, 137
35, 199, 18, 137

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

2 x 2 x 3 x 35 x 199 x 18 x 137 = 206108280

Therefore, the lowest common multiple of 105,398,216,548 is 206108280.

LCM Formula to Find Lowest Common Multiple of 105,398,216,548

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.

105 x 398 x 216 x 548 = 4946598720

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

398 : 1, 2, 199, 398

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,398,216,548, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

398:2x 199

216:2x 2x 2x 3x 3x 3

548:2x 2x 137

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 4946598720/(1x24)

LCM = 4946598720/24

LCM = 206108280

Thus, we can understand that the LCM of 105,398,216,548 is 206108280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 398, 216, 548

1. What is the LCM of 105, 398, 216, 548?

Answer: LCM of 105, 398, 216, 548 is 206108280.

2. How to calculate the LCM of 105, 398, 216, 548?

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 105, 398, 216, 548.

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}.