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LCM of 542, 319, 512, 327, 109

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


Find the LCM of 542, 319, 512, 327, 109 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 542, 319, 512, 327, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,319,512,327,109

Given numbers are 542,319,512,327,109

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

The LCM of 542,319,512,327,109 is 14473637376.

Find LCM of 542,319,512,327,109 with Prime Factorization


2 542, 319, 512, 327, 109
109 271, 319, 256, 327, 109
271, 319, 256, 3, 1

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

2 x 109 x 271 x 319 x 256 x 3 x 1 = 14473637376

Therefore, the lowest common multiple of 542,319,512,327,109 is 14473637376.

LCM Formula to Find Lowest Common Multiple of 542,319,512,327,109

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.

542 x 319 x 512 x 327 x 109 = 3155252947968

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.

542 : 1, 2, 271, 542

319 : 1, 11, 29, 319

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

327 : 1, 3, 109, 327

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,319,512,327,109, is 1.

Now, the common factors can be found like this.

542:2x 271

319:11x 29

512:2x 2x 2x 2x 2x 2x 2x 2x 2

327:3x 109

109:109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 3155252947968/(1x218)

LCM = 3155252947968/218

LCM = 14473637376

Thus, we can understand that the LCM of 542,319,512,327,109 is 14473637376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 319, 512, 327, 109

1. What is the LCM of 542, 319, 512, 327, 109?

Answer: LCM of 542, 319, 512, 327, 109 is 14473637376.

2. How to calculate the LCM of 542, 319, 512, 327, 109?

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 542, 319, 512, 327, 109.

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}.