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LCM of 208, 554, 524, 514, 650

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


Find the LCM of 208, 554, 524, 514, 650 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 208, 554, 524, 514, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,554,524,514,650

Given numbers are 208,554,524,514,650

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

The LCM of 208,554,524,514,650 is 48493946800.

Find LCM of 208,554,524,514,650 with Prime Factorization


2 208, 554, 524, 514, 650
2 104, 277, 262, 257, 325
13 52, 277, 131, 257, 325
4, 277, 131, 257, 25

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

2 x 2 x 13 x 4 x 277 x 131 x 257 x 25 = 48493946800

Therefore, the lowest common multiple of 208,554,524,514,650 is 48493946800.

LCM Formula to Find Lowest Common Multiple of 208,554,524,514,650

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.

208 x 554 x 524 x 514 x 650 = 20173481868800

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

554 : 1, 2, 277, 554

524 : 1, 2, 4, 131, 262, 524

514 : 1, 2, 257, 514

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,554,524,514,650, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

554:2x 277

524:2x 2x 131

514:2x 257

650:2x 5x 5x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 20173481868800/(2x208)

LCM = 20173481868800/416

LCM = 48493946800

Thus, we can understand that the LCM of 208,554,524,514,650 is 48493946800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 554, 524, 514, 650

1. What is the LCM of 208, 554, 524, 514, 650?

Answer: LCM of 208, 554, 524, 514, 650 is 48493946800.

2. How to calculate the LCM of 208, 554, 524, 514, 650?

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 208, 554, 524, 514, 650.

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}.