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 829, 714, 884, 741

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


Find the LCM of 829, 714, 884, 741 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 829, 714, 884, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,714,884,741

Given numbers are 829,714,884,741

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

The LCM of 829,714,884,741 is 292401564.

Find LCM of 829,714,884,741 with Prime Factorization


2 829, 714, 884, 741
3 829, 357, 442, 741
13 829, 119, 442, 247
17 829, 119, 34, 19
829, 7, 2, 19

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

2 x 3 x 13 x 17 x 829 x 7 x 2 x 19 = 292401564

Therefore, the lowest common multiple of 829,714,884,741 is 292401564.

LCM Formula to Find Lowest Common Multiple of 829,714,884,741

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.

829 x 714 x 884 x 741 = 387724473864

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.

829 : 1, 829

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,714,884,741, is 1.

Now, the common factors can be found like this.

829:829

714:2x 3x 7x 17

884:2x 2x 13x 17

741:3x 13x 19

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 13x 17 = 1326

Therefore, the value for common factors is 1326.

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 = 387724473864/(1x1326)

LCM = 387724473864/1326

LCM = 292401564

Thus, we can understand that the LCM of 829,714,884,741 is 292401564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 714, 884, 741

1. What is the LCM of 829, 714, 884, 741?

Answer: LCM of 829, 714, 884, 741 is 292401564.

2. How to calculate the LCM of 829, 714, 884, 741?

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 829, 714, 884, 741.

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}.