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LCM of 842, 508, 419, 494, 829

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


Find the LCM of 842, 508, 419, 494, 829 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 842, 508, 419, 494, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,508,419,494,829

Given numbers are 842,508,419,494,829

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

The LCM of 842,508,419,494,829 is 18348954125996.

Find LCM of 842,508,419,494,829 with Prime Factorization


2 842, 508, 419, 494, 829
421, 254, 419, 247, 829

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

2 x 421 x 254 x 419 x 247 x 829 = 18348954125996

Therefore, the lowest common multiple of 842,508,419,494,829 is 18348954125996.

LCM Formula to Find Lowest Common Multiple of 842,508,419,494,829

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.

842 x 508 x 419 x 494 x 829 = 73395816503984

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.

842 : 1, 2, 421, 842

508 : 1, 2, 4, 127, 254, 508

419 : 1, 419

494 : 1, 2, 13, 19, 26, 38, 247, 494

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,508,419,494,829, is 1.

Now, the common factors can be found like this.

842:2x 421

508:2x 2x 127

419:419

494:2x 13x 19

829:829

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 73395816503984/(1x4)

LCM = 73395816503984/4

LCM = 18348954125996

Thus, we can understand that the LCM of 842,508,419,494,829 is 18348954125996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 508, 419, 494, 829

1. What is the LCM of 842, 508, 419, 494, 829?

Answer: LCM of 842, 508, 419, 494, 829 is 18348954125996.

2. How to calculate the LCM of 842, 508, 419, 494, 829?

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 842, 508, 419, 494, 829.

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}.