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LCM of 344, 342, 292, 457

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


Find the LCM of 344, 342, 292, 457 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 344, 342, 292, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,342,292,457

Given numbers are 344,342,292,457

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

The LCM of 344,342,292,457 is 1962427464.

Find LCM of 344,342,292,457 with Prime Factorization


2 344, 342, 292, 457
2 172, 171, 146, 457
86, 171, 73, 457

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

2 x 2 x 86 x 171 x 73 x 457 = 1962427464

Therefore, the lowest common multiple of 344,342,292,457 is 1962427464.

LCM Formula to Find Lowest Common Multiple of 344,342,292,457

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.

344 x 342 x 292 x 457 = 15699419712

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

292 : 1, 2, 4, 73, 146, 292

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,342,292,457, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

342:2x 3x 3x 19

292:2x 2x 73

457:457

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15699419712/(1x8)

LCM = 15699419712/8

LCM = 1962427464

Thus, we can understand that the LCM of 344,342,292,457 is 1962427464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 342, 292, 457

1. What is the LCM of 344, 342, 292, 457?

Answer: LCM of 344, 342, 292, 457 is 1962427464.

2. How to calculate the LCM of 344, 342, 292, 457?

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 344, 342, 292, 457.

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}.