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 967, 871, 181, 448, 676

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


Find the LCM of 967, 871, 181, 448, 676 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 967, 871, 181, 448, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,871,181,448,676

Given numbers are 967,871,181,448,676

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

The LCM of 967,871,181,448,676 is 887860163008.

Find LCM of 967,871,181,448,676 with Prime Factorization


2 967, 871, 181, 448, 676
2 967, 871, 181, 224, 338
13 967, 871, 181, 112, 169
967, 67, 181, 112, 13

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

2 x 2 x 13 x 967 x 67 x 181 x 112 x 13 = 887860163008

Therefore, the lowest common multiple of 967,871,181,448,676 is 887860163008.

LCM Formula to Find Lowest Common Multiple of 967,871,181,448,676

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.

967 x 871 x 181 x 448 x 676 = 46168728476416

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.

967 : 1, 967

871 : 1, 13, 67, 871

181 : 1, 181

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,871,181,448,676, is 1.

Now, the common factors can be found like this.

967:967

871:13x 67

181:181

448:2x 2x 2x 2x 2x 2x 7

676:2x 2x 13x 13

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

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 46168728476416/(1x52)

LCM = 46168728476416/52

LCM = 887860163008

Thus, we can understand that the LCM of 967,871,181,448,676 is 887860163008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 871, 181, 448, 676

1. What is the LCM of 967, 871, 181, 448, 676?

Answer: LCM of 967, 871, 181, 448, 676 is 887860163008.

2. How to calculate the LCM of 967, 871, 181, 448, 676?

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 967, 871, 181, 448, 676.

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}.