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LCM of 508, 400, 556, 366

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


Find the LCM of 508, 400, 556, 366 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 508, 400, 556, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,400,556,366

Given numbers are 508,400,556,366

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

The LCM of 508,400,556,366 is 1292199600.

Find LCM of 508,400,556,366 with Prime Factorization


2 508, 400, 556, 366
2 254, 200, 278, 183
127, 100, 139, 183

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

2 x 2 x 127 x 100 x 139 x 183 = 1292199600

Therefore, the lowest common multiple of 508,400,556,366 is 1292199600.

LCM Formula to Find Lowest Common Multiple of 508,400,556,366

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.

508 x 400 x 556 x 366 = 41350387200

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.

508 : 1, 2, 4, 127, 254, 508

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,400,556,366, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

400:2x 2x 2x 2x 5x 5

556:2x 2x 139

366:2x 3x 61

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 = 41350387200/(2x16)

LCM = 41350387200/32

LCM = 1292199600

Thus, we can understand that the LCM of 508,400,556,366 is 1292199600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 400, 556, 366

1. What is the LCM of 508, 400, 556, 366?

Answer: LCM of 508, 400, 556, 366 is 1292199600.

2. How to calculate the LCM of 508, 400, 556, 366?

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 508, 400, 556, 366.

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}.