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 384, 656, 898, 697

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


Find the LCM of 384, 656, 898, 697 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 384, 656, 898, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 384,656,898,697

Given numbers are 384,656,898,697

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

The LCM of 384,656,898,697 is 120173952.

Find LCM of 384,656,898,697 with Prime Factorization


2 384, 656, 898, 697
2 192, 328, 449, 697
2 96, 164, 449, 697
2 48, 82, 449, 697
41 24, 41, 449, 697
24, 1, 449, 17

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

2 x 2 x 2 x 2 x 41 x 24 x 1 x 449 x 17 = 120173952

Therefore, the lowest common multiple of 384,656,898,697 is 120173952.

LCM Formula to Find Lowest Common Multiple of 384,656,898,697

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.

384 x 656 x 898 x 697 = 157668225024

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.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

898 : 1, 2, 449, 898

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,656,898,697, is 1.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

656:2x 2x 2x 2x 41

898:2x 449

697:17x 41

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 2x 2x 2x 41 = 1312

Therefore, the value for common factors is 1312.

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 = 157668225024/(1x1312)

LCM = 157668225024/1312

LCM = 120173952

Thus, we can understand that the LCM of 384,656,898,697 is 120173952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 384, 656, 898, 697

1. What is the LCM of 384, 656, 898, 697?

Answer: LCM of 384, 656, 898, 697 is 120173952.

2. How to calculate the LCM of 384, 656, 898, 697?

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 384, 656, 898, 697.

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}.