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LCM of 993, 498, 412, 274

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


Find the LCM of 993, 498, 412, 274 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 993, 498, 412, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,498,412,274

Given numbers are 993,498,412,274

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

The LCM of 993,498,412,274 is 4652058036.

Find LCM of 993,498,412,274 with Prime Factorization


2 993, 498, 412, 274
3 993, 249, 206, 137
331, 83, 206, 137

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

2 x 3 x 331 x 83 x 206 x 137 = 4652058036

Therefore, the lowest common multiple of 993,498,412,274 is 4652058036.

LCM Formula to Find Lowest Common Multiple of 993,498,412,274

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.

993 x 498 x 412 x 274 = 55824696432

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.

993 : 1, 3, 331, 993

498 : 1, 2, 3, 6, 83, 166, 249, 498

412 : 1, 2, 4, 103, 206, 412

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,498,412,274, is 1.

Now, the common factors can be found like this.

993:3x 331

498:2x 3x 83

412:2x 2x 103

274:2x 137

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 3 = 12

Therefore, the value for common factors is 12.

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 = 55824696432/(1x12)

LCM = 55824696432/12

LCM = 4652058036

Thus, we can understand that the LCM of 993,498,412,274 is 4652058036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 498, 412, 274

1. What is the LCM of 993, 498, 412, 274?

Answer: LCM of 993, 498, 412, 274 is 4652058036.

2. How to calculate the LCM of 993, 498, 412, 274?

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 993, 498, 412, 274.

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}.