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LCM of 552, 282, 223, 318, 579

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


Find the LCM of 552, 282, 223, 318, 579 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 552, 282, 223, 318, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,282,223,318,579

Given numbers are 552,282,223,318,579

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

The LCM of 552,282,223,318,579 is 59180002248.

Find LCM of 552,282,223,318,579 with Prime Factorization


2 552, 282, 223, 318, 579
3 276, 141, 223, 159, 579
92, 47, 223, 53, 193

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

2 x 3 x 92 x 47 x 223 x 53 x 193 = 59180002248

Therefore, the lowest common multiple of 552,282,223,318,579 is 59180002248.

LCM Formula to Find Lowest Common Multiple of 552,282,223,318,579

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.

552 x 282 x 223 x 318 x 579 = 6391440242784

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

223 : 1, 223

318 : 1, 2, 3, 6, 53, 106, 159, 318

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,282,223,318,579, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

282:2x 3x 47

223:223

318:2x 3x 53

579:3x 193

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 6391440242784/(1x108)

LCM = 6391440242784/108

LCM = 59180002248

Thus, we can understand that the LCM of 552,282,223,318,579 is 59180002248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 282, 223, 318, 579

1. What is the LCM of 552, 282, 223, 318, 579?

Answer: LCM of 552, 282, 223, 318, 579 is 59180002248.

2. How to calculate the LCM of 552, 282, 223, 318, 579?

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 552, 282, 223, 318, 579.

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}.