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LCM of 829, 734, 543, 986

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


Find the LCM of 829, 734, 543, 986 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, 734, 543, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,734,543,986

Given numbers are 829,734,543,986

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

The LCM of 829,734,543,986 is 162891093714.

Find LCM of 829,734,543,986 with Prime Factorization


2 829, 734, 543, 986
829, 367, 543, 493

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

2 x 829 x 367 x 543 x 493 = 162891093714

Therefore, the lowest common multiple of 829,734,543,986 is 162891093714.

LCM Formula to Find Lowest Common Multiple of 829,734,543,986

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 734 x 543 x 986 = 325782187428

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

734 : 1, 2, 367, 734

543 : 1, 3, 181, 543

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,734,543,986, is 1.

Now, the common factors can be found like this.

829:829

734:2x 367

543:3x 181

986:2x 17x 29

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 = 325782187428/(1x2)

LCM = 325782187428/2

LCM = 162891093714

Thus, we can understand that the LCM of 829,734,543,986 is 162891093714.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 734, 543, 986

1. What is the LCM of 829, 734, 543, 986?

Answer: LCM of 829, 734, 543, 986 is 162891093714.

2. How to calculate the LCM of 829, 734, 543, 986?

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, 734, 543, 986.

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}.