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LCM of 242, 502, 936, 424

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


Find the LCM of 242, 502, 936, 424 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 242, 502, 936, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,502,936,424

Given numbers are 242,502,936,424

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

The LCM of 242,502,936,424 is 1506644568.

Find LCM of 242,502,936,424 with Prime Factorization


2 242, 502, 936, 424
2 121, 251, 468, 212
2 121, 251, 234, 106
121, 251, 117, 53

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

2 x 2 x 2 x 121 x 251 x 117 x 53 = 1506644568

Therefore, the lowest common multiple of 242,502,936,424 is 1506644568.

LCM Formula to Find Lowest Common Multiple of 242,502,936,424

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.

242 x 502 x 936 x 424 = 48212626176

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.

242 : 1, 2, 11, 22, 121, 242

502 : 1, 2, 251, 502

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,502,936,424, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

502:2x 251

936:2x 2x 2x 3x 3x 13

424:2x 2x 2x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 48212626176/(2x16)

LCM = 48212626176/32

LCM = 1506644568

Thus, we can understand that the LCM of 242,502,936,424 is 1506644568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 502, 936, 424

1. What is the LCM of 242, 502, 936, 424?

Answer: LCM of 242, 502, 936, 424 is 1506644568.

2. How to calculate the LCM of 242, 502, 936, 424?

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 242, 502, 936, 424.

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}.