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LCM of 401, 209, 319, 335, 902

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


Find the LCM of 401, 209, 319, 335, 902 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 401, 209, 319, 335, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,209,319,335,902

Given numbers are 401,209,319,335,902

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

The LCM of 401,209,319,335,902 is 66764763670.

Find LCM of 401,209,319,335,902 with Prime Factorization


11 401, 209, 319, 335, 902
401, 19, 29, 335, 82

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

11 x 401 x 19 x 29 x 335 x 82 = 66764763670

Therefore, the lowest common multiple of 401,209,319,335,902 is 66764763670.

LCM Formula to Find Lowest Common Multiple of 401,209,319,335,902

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.

401 x 209 x 319 x 335 x 902 = 8078536404070

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.

401 : 1, 401

209 : 1, 11, 19, 209

319 : 1, 11, 29, 319

335 : 1, 5, 67, 335

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,209,319,335,902, is 1.

Now, the common factors can be found like this.

401:401

209:11x 19

319:11x 29

335:5x 67

902:2x 11x 41

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 8078536404070/(1x121)

LCM = 8078536404070/121

LCM = 66764763670

Thus, we can understand that the LCM of 401,209,319,335,902 is 66764763670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 209, 319, 335, 902

1. What is the LCM of 401, 209, 319, 335, 902?

Answer: LCM of 401, 209, 319, 335, 902 is 66764763670.

2. How to calculate the LCM of 401, 209, 319, 335, 902?

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 401, 209, 319, 335, 902.

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}.