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LCM of 341, 292, 279, 857, 201

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


Find the LCM of 341, 292, 279, 857, 201 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 341, 292, 279, 857, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,292,279,857,201

Given numbers are 341,292,279,857,201

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

The LCM of 341,292,279,857,201 is 51455922012.

Find LCM of 341,292,279,857,201 with Prime Factorization


3 341, 292, 279, 857, 201
31 341, 292, 93, 857, 67
11, 292, 3, 857, 67

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

3 x 31 x 11 x 292 x 3 x 857 x 67 = 51455922012

Therefore, the lowest common multiple of 341,292,279,857,201 is 51455922012.

LCM Formula to Find Lowest Common Multiple of 341,292,279,857,201

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.

341 x 292 x 279 x 857 x 201 = 4785400747116

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.

341 : 1, 11, 31, 341

292 : 1, 2, 4, 73, 146, 292

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

857 : 1, 857

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,292,279,857,201, is 1.

Now, the common factors can be found like this.

341:11x 31

292:2x 2x 73

279:3x 3x 31

857:857

201:3x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 31 = 93

Therefore, the value for common factors is 93.

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 = 4785400747116/(1x93)

LCM = 4785400747116/93

LCM = 51455922012

Thus, we can understand that the LCM of 341,292,279,857,201 is 51455922012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 292, 279, 857, 201

1. What is the LCM of 341, 292, 279, 857, 201?

Answer: LCM of 341, 292, 279, 857, 201 is 51455922012.

2. How to calculate the LCM of 341, 292, 279, 857, 201?

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 341, 292, 279, 857, 201.

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}.