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LCM of 544, 804, 992, 282

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


Find the LCM of 544, 804, 992, 282 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 544, 804, 992, 282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,804,992,282

Given numbers are 544,804,992,282

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

The LCM of 544,804,992,282 is 159314208.

Find LCM of 544,804,992,282 with Prime Factorization


2 544, 804, 992, 282
2 272, 402, 496, 141
2 136, 201, 248, 141
2 68, 201, 124, 141
2 34, 201, 62, 141
3 17, 201, 31, 141
17, 67, 31, 47

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

2 x 2 x 2 x 2 x 2 x 3 x 17 x 67 x 31 x 47 = 159314208

Therefore, the lowest common multiple of 544,804,992,282 is 159314208.

LCM Formula to Find Lowest Common Multiple of 544,804,992,282

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.

544 x 804 x 992 x 282 = 122353311744

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,804,992,282, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

804:2x 2x 3x 67

992:2x 2x 2x 2x 2x 31

282:2x 3x 47

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 122353311744/(2x384)

LCM = 122353311744/768

LCM = 159314208

Thus, we can understand that the LCM of 544,804,992,282 is 159314208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 804, 992, 282

1. What is the LCM of 544, 804, 992, 282?

Answer: LCM of 544, 804, 992, 282 is 159314208.

2. How to calculate the LCM of 544, 804, 992, 282?

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 544, 804, 992, 282.

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}.