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LCM of 3, 201, 201, 854

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


Find the LCM of 3, 201, 201, 854 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 3, 201, 201, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3,201,201,854

Given numbers are 3,201,201,854

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

The LCM of 3,201,201,854 is 171654.

Find LCM of 3,201,201,854 with Prime Factorization


3 3, 201, 201, 854
67 1, 67, 67, 854
1, 1, 1, 854

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

3 x 67 x 1 x 1 x 1 x 854 = 171654

Therefore, the lowest common multiple of 3,201,201,854 is 171654.

LCM Formula to Find Lowest Common Multiple of 3,201,201,854

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.

3 x 201 x 201 x 854 = 103507362

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.

3 : 1, 3

201 : 1, 3, 67, 201

201 : 1, 3, 67, 201

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,201,201,854, is 1.

Now, the common factors can be found like this.

3:3

201:3x 67

201:3x 67

854:2x 7x 61

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

3x 3x 67 = 603

Therefore, the value for common factors is 603.

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 = 103507362/(1x603)

LCM = 103507362/603

LCM = 171654

Thus, we can understand that the LCM of 3,201,201,854 is 171654.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 3, 201, 201, 854

1. What is the LCM of 3, 201, 201, 854?

Answer: LCM of 3, 201, 201, 854 is 171654.

2. How to calculate the LCM of 3, 201, 201, 854?

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 3, 201, 201, 854.

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}.