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LCM of 933, 325, 196, 821, 418

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


Find the LCM of 933, 325, 196, 821, 418 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 933, 325, 196, 821, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,325,196,821,418

Given numbers are 933,325,196,821,418

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

The LCM of 933,325,196,821,418 is 10197894606900.

Find LCM of 933,325,196,821,418 with Prime Factorization


2 933, 325, 196, 821, 418
933, 325, 98, 821, 209

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

2 x 933 x 325 x 98 x 821 x 209 = 10197894606900

Therefore, the lowest common multiple of 933,325,196,821,418 is 10197894606900.

LCM Formula to Find Lowest Common Multiple of 933,325,196,821,418

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.

933 x 325 x 196 x 821 x 418 = 20395789213800

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.

933 : 1, 3, 311, 933

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

821 : 1, 821

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,325,196,821,418, is 1.

Now, the common factors can be found like this.

933:3x 311

325:5x 5x 13

196:2x 2x 7x 7

821:821

418:2x 11x 19

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 = 20395789213800/(1x2)

LCM = 20395789213800/2

LCM = 10197894606900

Thus, we can understand that the LCM of 933,325,196,821,418 is 10197894606900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 325, 196, 821, 418

1. What is the LCM of 933, 325, 196, 821, 418?

Answer: LCM of 933, 325, 196, 821, 418 is 10197894606900.

2. How to calculate the LCM of 933, 325, 196, 821, 418?

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 933, 325, 196, 821, 418.

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}.