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LCM of 502, 282, 440, 884

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


Find the LCM of 502, 282, 440, 884 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 502, 282, 440, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,282,440,884

Given numbers are 502,282,440,884

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

The LCM of 502,282,440,884 is 3441420840.

Find LCM of 502,282,440,884 with Prime Factorization


2 502, 282, 440, 884
2 251, 141, 220, 442
251, 141, 110, 221

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

2 x 2 x 251 x 141 x 110 x 221 = 3441420840

Therefore, the lowest common multiple of 502,282,440,884 is 3441420840.

LCM Formula to Find Lowest Common Multiple of 502,282,440,884

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.

502 x 282 x 440 x 884 = 55062733440

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.

502 : 1, 2, 251, 502

282 : 1, 2, 3, 6, 47, 94, 141, 282

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,282,440,884, is 2.

Now, the common factors can be found like this.

502:2x 251

282:2x 3x 47

440:2x 2x 2x 5x 11

884:2x 2x 13x 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 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 = 55062733440/(2x8)

LCM = 55062733440/16

LCM = 3441420840

Thus, we can understand that the LCM of 502,282,440,884 is 3441420840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 282, 440, 884

1. What is the LCM of 502, 282, 440, 884?

Answer: LCM of 502, 282, 440, 884 is 3441420840.

2. How to calculate the LCM of 502, 282, 440, 884?

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 502, 282, 440, 884.

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}.