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LCM of 201, 358, 992

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


Find the LCM of 201, 358, 992 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 201, 358, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,358,992

Given numbers are 201,358,992

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

The LCM of 201,358,992 is 35691168.

Find LCM of 201,358,992 with Prime Factorization


2 201, 358, 992
201, 179, 496

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

2 x 201 x 179 x 496 = 35691168

Therefore, the lowest common multiple of 201,358,992 is 35691168.

LCM Formula to Find Lowest Common Multiple of 201,358,992

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.

201 x 358 x 992 = 71382336

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.

201 : 1, 3, 67, 201

358 : 1, 2, 179, 358

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,358,992, is 1.

Now, the common factors can be found like this.

201:3x 67

358:2x 179

992:2x 2x 2x 2x 2x 31

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 = 71382336/(1x2)

LCM = 71382336/2

LCM = 35691168

Thus, we can understand that the LCM of 201,358,992 is 35691168.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 201, 358, 992

1. What is the LCM of 201, 358, 992?

Answer: LCM of 201, 358, 992 is 35691168.

2. How to calculate the LCM of 201, 358, 992?

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 201, 358, 992.

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}.