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LCM of 533, 526, 404, 202

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


Find the LCM of 533, 526, 404, 202 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 533, 526, 404, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,526,404,202

Given numbers are 533,526,404,202

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

The LCM of 533,526,404,202 is 56632316.

Find LCM of 533,526,404,202 with Prime Factorization


2 533, 526, 404, 202
101 533, 263, 202, 101
533, 263, 2, 1

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

2 x 101 x 533 x 263 x 2 x 1 = 56632316

Therefore, the lowest common multiple of 533,526,404,202 is 56632316.

LCM Formula to Find Lowest Common Multiple of 533,526,404,202

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.

533 x 526 x 404 x 202 = 22879455664

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.

533 : 1, 13, 41, 533

526 : 1, 2, 263, 526

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

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,526,404,202, is 1.

Now, the common factors can be found like this.

533:13x 41

526:2x 263

404:2x 2x 101

202:2x 101

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

2x 2x 101 = 404

Therefore, the value for common factors is 404.

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 = 22879455664/(1x404)

LCM = 22879455664/404

LCM = 56632316

Thus, we can understand that the LCM of 533,526,404,202 is 56632316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 526, 404, 202

1. What is the LCM of 533, 526, 404, 202?

Answer: LCM of 533, 526, 404, 202 is 56632316.

2. How to calculate the LCM of 533, 526, 404, 202?

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 533, 526, 404, 202.

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}.