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 521, 147, 219, 777, 163

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


Find the LCM of 521, 147, 219, 777, 163 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 521, 147, 219, 777, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,147,219,777,163

Given numbers are 521,147,219,777,163

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

The LCM of 521,147,219,777,163 is 33718422381.

Find LCM of 521,147,219,777,163 with Prime Factorization


3 521, 147, 219, 777, 163
7 521, 49, 73, 259, 163
521, 7, 73, 37, 163

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

3 x 7 x 521 x 7 x 73 x 37 x 163 = 33718422381

Therefore, the lowest common multiple of 521,147,219,777,163 is 33718422381.

LCM Formula to Find Lowest Common Multiple of 521,147,219,777,163

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.

521 x 147 x 219 x 777 x 163 = 2124260610003

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.

521 : 1, 521

147 : 1, 3, 7, 21, 49, 147

219 : 1, 3, 73, 219

777 : 1, 3, 7, 21, 37, 111, 259, 777

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,147,219,777,163, is 1.

Now, the common factors can be found like this.

521:521

147:3x 7x 7

219:3x 73

777:3x 7x 37

163:163

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 7 = 63

Therefore, the value for common factors is 63.

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 = 2124260610003/(1x63)

LCM = 2124260610003/63

LCM = 33718422381

Thus, we can understand that the LCM of 521,147,219,777,163 is 33718422381.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 147, 219, 777, 163

1. What is the LCM of 521, 147, 219, 777, 163?

Answer: LCM of 521, 147, 219, 777, 163 is 33718422381.

2. How to calculate the LCM of 521, 147, 219, 777, 163?

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 521, 147, 219, 777, 163.

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}.