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LCM of 202, 404, 529, 277, 369

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


Find the LCM of 202, 404, 529, 277, 369 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 202, 404, 529, 277, 369. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,404,529,277,369

Given numbers are 202,404,529,277,369

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

The LCM of 202,404,529,277,369 is 21844553508.

Find LCM of 202,404,529,277,369 with Prime Factorization


2 202, 404, 529, 277, 369
101 101, 202, 529, 277, 369
1, 2, 529, 277, 369

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

2 x 101 x 1 x 2 x 529 x 277 x 369 = 21844553508

Therefore, the lowest common multiple of 202,404,529,277,369 is 21844553508.

LCM Formula to Find Lowest Common Multiple of 202,404,529,277,369

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.

202 x 404 x 529 x 277 x 369 = 4412599808616

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.

202 : 1, 2, 101, 202

404 : 1, 2, 4, 101, 202, 404

529 : 1, 23, 529

277 : 1, 277

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,404,529,277,369, is 1.

Now, the common factors can be found like this.

202:2x 101

404:2x 2x 101

529:23x 23

277:277

369:3x 3x 41

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

2x 101 = 202

Therefore, the value for common factors is 202.

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 = 4412599808616/(1x202)

LCM = 4412599808616/202

LCM = 21844553508

Thus, we can understand that the LCM of 202,404,529,277,369 is 21844553508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 404, 529, 277, 369

1. What is the LCM of 202, 404, 529, 277, 369?

Answer: LCM of 202, 404, 529, 277, 369 is 21844553508.

2. How to calculate the LCM of 202, 404, 529, 277, 369?

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 202, 404, 529, 277, 369.

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}.