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LCM of 177, 209, 399, 279

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


Find the LCM of 177, 209, 399, 279 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 177, 209, 399, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,209,399,279

Given numbers are 177,209,399,279

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

The LCM of 177,209,399,279 is 24082443.

Find LCM of 177,209,399,279 with Prime Factorization


3 177, 209, 399, 279
19 59, 209, 133, 93
59, 11, 7, 93

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

3 x 19 x 59 x 11 x 7 x 93 = 24082443

Therefore, the lowest common multiple of 177,209,399,279 is 24082443.

LCM Formula to Find Lowest Common Multiple of 177,209,399,279

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.

177 x 209 x 399 x 279 = 4118097753

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.

177 : 1, 3, 59, 177

209 : 1, 11, 19, 209

399 : 1, 3, 7, 19, 21, 57, 133, 399

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,209,399,279, is 1.

Now, the common factors can be found like this.

177:3x 59

209:11x 19

399:3x 7x 19

279:3x 3x 31

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 19 = 171

Therefore, the value for common factors is 171.

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 = 4118097753/(1x171)

LCM = 4118097753/171

LCM = 24082443

Thus, we can understand that the LCM of 177,209,399,279 is 24082443.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 209, 399, 279

1. What is the LCM of 177, 209, 399, 279?

Answer: LCM of 177, 209, 399, 279 is 24082443.

2. How to calculate the LCM of 177, 209, 399, 279?

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 177, 209, 399, 279.

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}.