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LCM of 342, 195, 247, 457, 544

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


Find the LCM of 342, 195, 247, 457, 544 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 342, 195, 247, 457, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,195,247,457,544

Given numbers are 342,195,247,457,544

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

The LCM of 342,195,247,457,544 is 2763277920.

Find LCM of 342,195,247,457,544 with Prime Factorization


2 342, 195, 247, 457, 544
3 171, 195, 247, 457, 272
13 57, 65, 247, 457, 272
19 57, 5, 19, 457, 272
3, 5, 1, 457, 272

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

2 x 3 x 13 x 19 x 3 x 5 x 1 x 457 x 272 = 2763277920

Therefore, the lowest common multiple of 342,195,247,457,544 is 2763277920.

LCM Formula to Find Lowest Common Multiple of 342,195,247,457,544

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.

342 x 195 x 247 x 457 x 544 = 4095177877440

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

195 : 1, 3, 5, 13, 15, 39, 65, 195

247 : 1, 13, 19, 247

457 : 1, 457

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,195,247,457,544, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

195:3x 5x 13

247:13x 19

457:457

544:2x 2x 2x 2x 2x 17

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

2x 3x 13x 19 = 1482

Therefore, the value for common factors is 1482.

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 = 4095177877440/(1x1482)

LCM = 4095177877440/1482

LCM = 2763277920

Thus, we can understand that the LCM of 342,195,247,457,544 is 2763277920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 195, 247, 457, 544

1. What is the LCM of 342, 195, 247, 457, 544?

Answer: LCM of 342, 195, 247, 457, 544 is 2763277920.

2. How to calculate the LCM of 342, 195, 247, 457, 544?

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 342, 195, 247, 457, 544.

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}.