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LCM of 556, 363, 992, 279

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


Find the LCM of 556, 363, 992, 279 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 556, 363, 992, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,363,992,279

Given numbers are 556,363,992,279

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

The LCM of 556,363,992,279 is 150160032.

Find LCM of 556,363,992,279 with Prime Factorization


2 556, 363, 992, 279
2 278, 363, 496, 279
3 139, 363, 248, 279
31 139, 121, 248, 93
139, 121, 8, 3

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

2 x 2 x 3 x 31 x 139 x 121 x 8 x 3 = 150160032

Therefore, the lowest common multiple of 556,363,992,279 is 150160032.

LCM Formula to Find Lowest Common Multiple of 556,363,992,279

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.

556 x 363 x 992 x 279 = 55859531904

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.

556 : 1, 2, 4, 139, 278, 556

363 : 1, 3, 11, 33, 121, 363

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

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,363,992,279, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

363:3x 11x 11

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

279:3x 3x 31

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 31 = 372

Therefore, the value for common factors is 372.

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 = 55859531904/(1x372)

LCM = 55859531904/372

LCM = 150160032

Thus, we can understand that the LCM of 556,363,992,279 is 150160032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 363, 992, 279

1. What is the LCM of 556, 363, 992, 279?

Answer: LCM of 556, 363, 992, 279 is 150160032.

2. How to calculate the LCM of 556, 363, 992, 279?

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 556, 363, 992, 279.

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}.