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 684, 515, 893

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


Find the LCM of 684, 515, 893 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 684, 515, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,515,893

Given numbers are 684,515,893

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

The LCM of 684,515,893 is 16556220.

Find LCM of 684,515,893 with Prime Factorization


19 684, 515, 893
36, 515, 47

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

19 x 36 x 515 x 47 = 16556220

Therefore, the lowest common multiple of 684,515,893 is 16556220.

LCM Formula to Find Lowest Common Multiple of 684,515,893

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.

684 x 515 x 893 = 314568180

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

515 : 1, 5, 103, 515

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,515,893, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

515:5x 103

893:19x 47

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

19 = 19

Therefore, the value for common factors is 19.

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 = 314568180/(1x19)

LCM = 314568180/19

LCM = 16556220

Thus, we can understand that the LCM of 684,515,893 is 16556220.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 684, 515, 893

1. What is the LCM of 684, 515, 893?

Answer: LCM of 684, 515, 893 is 16556220.

2. How to calculate the LCM of 684, 515, 893?

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 684, 515, 893.

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}.