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LCM of 209, 118, 351, 208

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


Find the LCM of 209, 118, 351, 208 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 209, 118, 351, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,118,351,208

Given numbers are 209,118,351,208

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

The LCM of 209,118,351,208 is 69250896.

Find LCM of 209,118,351,208 with Prime Factorization


2 209, 118, 351, 208
13 209, 59, 351, 104
209, 59, 27, 8

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

2 x 13 x 209 x 59 x 27 x 8 = 69250896

Therefore, the lowest common multiple of 209,118,351,208 is 69250896.

LCM Formula to Find Lowest Common Multiple of 209,118,351,208

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.

209 x 118 x 351 x 208 = 1800523296

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.

209 : 1, 11, 19, 209

118 : 1, 2, 59, 118

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,118,351,208, is 1.

Now, the common factors can be found like this.

209:11x 19

118:2x 59

351:3x 3x 3x 13

208:2x 2x 2x 2x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 1800523296/(1x26)

LCM = 1800523296/26

LCM = 69250896

Thus, we can understand that the LCM of 209,118,351,208 is 69250896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 118, 351, 208

1. What is the LCM of 209, 118, 351, 208?

Answer: LCM of 209, 118, 351, 208 is 69250896.

2. How to calculate the LCM of 209, 118, 351, 208?

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 209, 118, 351, 208.

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}.