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LCM of 903, 306, 704, 210, 209

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


Find the LCM of 903, 306, 704, 210, 209 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 903, 306, 704, 210, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,306,704,210,209

Given numbers are 903,306,704,210,209

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

The LCM of 903,306,704,210,209 is 3080024640.

Find LCM of 903,306,704,210,209 with Prime Factorization


2 903, 306, 704, 210, 209
3 903, 153, 352, 105, 209
7 301, 51, 352, 35, 209
11 43, 51, 352, 5, 209
43, 51, 32, 5, 19

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

2 x 3 x 7 x 11 x 43 x 51 x 32 x 5 x 19 = 3080024640

Therefore, the lowest common multiple of 903,306,704,210,209 is 3080024640.

LCM Formula to Find Lowest Common Multiple of 903,306,704,210,209

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.

903 x 306 x 704 x 210 x 209 = 8537828302080

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,306,704,210,209, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

306:2x 3x 3x 17

704:2x 2x 2x 2x 2x 2x 11

210:2x 3x 5x 7

209:11x 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 3x 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 8537828302080/(1x2772)

LCM = 8537828302080/2772

LCM = 3080024640

Thus, we can understand that the LCM of 903,306,704,210,209 is 3080024640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 306, 704, 210, 209

1. What is the LCM of 903, 306, 704, 210, 209?

Answer: LCM of 903, 306, 704, 210, 209 is 3080024640.

2. How to calculate the LCM of 903, 306, 704, 210, 209?

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 903, 306, 704, 210, 209.

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}.