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LCM of 521, 274, 325, 996

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


Find the LCM of 521, 274, 325, 996 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 521, 274, 325, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,274,325,996

Given numbers are 521,274,325,996

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

The LCM of 521,274,325,996 is 23104734900.

Find LCM of 521,274,325,996 with Prime Factorization


2 521, 274, 325, 996
521, 137, 325, 498

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

2 x 521 x 137 x 325 x 498 = 23104734900

Therefore, the lowest common multiple of 521,274,325,996 is 23104734900.

LCM Formula to Find Lowest Common Multiple of 521,274,325,996

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.

521 x 274 x 325 x 996 = 46209469800

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.

521 : 1, 521

274 : 1, 2, 137, 274

325 : 1, 5, 13, 25, 65, 325

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,274,325,996, is 1.

Now, the common factors can be found like this.

521:521

274:2x 137

325:5x 5x 13

996:2x 2x 3x 83

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46209469800/(1x2)

LCM = 46209469800/2

LCM = 23104734900

Thus, we can understand that the LCM of 521,274,325,996 is 23104734900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 274, 325, 996

1. What is the LCM of 521, 274, 325, 996?

Answer: LCM of 521, 274, 325, 996 is 23104734900.

2. How to calculate the LCM of 521, 274, 325, 996?

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 521, 274, 325, 996.

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}.