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LCM of 475, 474, 693, 147, 209

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


Find the LCM of 475, 474, 693, 147, 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 475, 474, 693, 147, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,474,693,147,209

Given numbers are 475,474,693,147,209

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

The LCM of 475,474,693,147,209 is 364067550.

Find LCM of 475,474,693,147,209 with Prime Factorization


3 475, 474, 693, 147, 209
7 475, 158, 231, 49, 209
11 475, 158, 33, 7, 209
19 475, 158, 3, 7, 19
25, 158, 3, 7, 1

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

3 x 7 x 11 x 19 x 25 x 158 x 3 x 7 x 1 = 364067550

Therefore, the lowest common multiple of 475,474,693,147,209 is 364067550.

LCM Formula to Find Lowest Common Multiple of 475,474,693,147,209

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.

475 x 474 x 693 x 147 x 209 = 4793677430850

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.

475 : 1, 5, 19, 25, 95, 475

474 : 1, 2, 3, 6, 79, 158, 237, 474

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

147 : 1, 3, 7, 21, 49, 147

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,474,693,147,209, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

474:2x 3x 79

693:3x 3x 7x 11

147:3x 7x 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.

3x 3x 7x 11x 19 = 13167

Therefore, the value for common factors is 13167.

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 = 4793677430850/(1x13167)

LCM = 4793677430850/13167

LCM = 364067550

Thus, we can understand that the LCM of 475,474,693,147,209 is 364067550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 474, 693, 147, 209

1. What is the LCM of 475, 474, 693, 147, 209?

Answer: LCM of 475, 474, 693, 147, 209 is 364067550.

2. How to calculate the LCM of 475, 474, 693, 147, 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 475, 474, 693, 147, 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}.