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LCM of 829, 887, 664, 674

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


Find the LCM of 829, 887, 664, 674 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, 887, 664, 674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,887,664,674

Given numbers are 829,887,664,674

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

The LCM of 829,887,664,674 is 164541757064.

Find LCM of 829,887,664,674 with Prime Factorization


2 829, 887, 664, 674
829, 887, 332, 337

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

2 x 829 x 887 x 332 x 337 = 164541757064

Therefore, the lowest common multiple of 829,887,664,674 is 164541757064.

LCM Formula to Find Lowest Common Multiple of 829,887,664,674

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 887 x 664 x 674 = 329083514128

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

887 : 1, 887

664 : 1, 2, 4, 8, 83, 166, 332, 664

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,887,664,674, is 1.

Now, the common factors can be found like this.

829:829

887:887

664:2x 2x 2x 83

674:2x 337

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

2 = 2

Therefore, the value for common factors is 2.

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 = 329083514128/(1x2)

LCM = 329083514128/2

LCM = 164541757064

Thus, we can understand that the LCM of 829,887,664,674 is 164541757064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 887, 664, 674

1. What is the LCM of 829, 887, 664, 674?

Answer: LCM of 829, 887, 664, 674 is 164541757064.

2. How to calculate the LCM of 829, 887, 664, 674?

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, 887, 664, 674.

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}.