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LCM of 210, 559, 208, 775, 494

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


Find the LCM of 210, 559, 208, 775, 494 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 210, 559, 208, 775, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,559,208,775,494

Given numbers are 210,559,208,775,494

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

The LCM of 210,559,208,775,494 is 2765708400.

Find LCM of 210,559,208,775,494 with Prime Factorization


2 210, 559, 208, 775, 494
5 105, 559, 104, 775, 247
13 21, 559, 104, 155, 247
21, 43, 8, 155, 19

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

2 x 5 x 13 x 21 x 43 x 8 x 155 x 19 = 2765708400

Therefore, the lowest common multiple of 210,559,208,775,494 is 2765708400.

LCM Formula to Find Lowest Common Multiple of 210,559,208,775,494

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.

210 x 559 x 208 x 775 x 494 = 9348094392000

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

559 : 1, 13, 43, 559

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

775 : 1, 5, 25, 31, 155, 775

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,559,208,775,494, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

559:13x 43

208:2x 2x 2x 2x 13

775:5x 5x 31

494:2x 13x 19

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 5x 13x 13 = 3380

Therefore, the value for common factors is 3380.

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 = 9348094392000/(1x3380)

LCM = 9348094392000/3380

LCM = 2765708400

Thus, we can understand that the LCM of 210,559,208,775,494 is 2765708400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 559, 208, 775, 494

1. What is the LCM of 210, 559, 208, 775, 494?

Answer: LCM of 210, 559, 208, 775, 494 is 2765708400.

2. How to calculate the LCM of 210, 559, 208, 775, 494?

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 210, 559, 208, 775, 494.

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}.