LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 867, 664, 578, 201, 453

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


Find the LCM of 867, 664, 578, 201, 453 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 867, 664, 578, 201, 453. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,664,578,201,453

Given numbers are 867,664,578,201,453

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

The LCM of 867,664,578,201,453 is 5824235496.

Find LCM of 867,664,578,201,453 with Prime Factorization


2 867, 664, 578, 201, 453
3 867, 332, 289, 201, 453
17 289, 332, 289, 67, 151
17 17, 332, 17, 67, 151
1, 332, 1, 67, 151

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

2 x 3 x 17 x 17 x 1 x 332 x 1 x 67 x 151 = 5824235496

Therefore, the lowest common multiple of 867,664,578,201,453 is 5824235496.

LCM Formula to Find Lowest Common Multiple of 867,664,578,201,453

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.

867 x 664 x 578 x 201 x 453 = 30297673050192

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.

867 : 1, 3, 17, 51, 289, 867

664 : 1, 2, 4, 8, 83, 166, 332, 664

578 : 1, 2, 17, 34, 289, 578

201 : 1, 3, 67, 201

453 : 1, 3, 151, 453

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,664,578,201,453, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

664:2x 2x 2x 83

578:2x 17x 17

201:3x 67

453:3x 151

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

2x 3x 3x 17x 17 = 5202

Therefore, the value for common factors is 5202.

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 = 30297673050192/(1x5202)

LCM = 30297673050192/5202

LCM = 5824235496

Thus, we can understand that the LCM of 867,664,578,201,453 is 5824235496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 664, 578, 201, 453

1. What is the LCM of 867, 664, 578, 201, 453?

Answer: LCM of 867, 664, 578, 201, 453 is 5824235496.

2. How to calculate the LCM of 867, 664, 578, 201, 453?

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 867, 664, 578, 201, 453.

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}.