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LCM of 802, 170, 943, 644

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


Find the LCM of 802, 170, 943, 644 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 802, 170, 943, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,170,943,644

Given numbers are 802,170,943,644

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

The LCM of 802,170,943,644 is 899980340.

Find LCM of 802,170,943,644 with Prime Factorization


2 802, 170, 943, 644
23 401, 85, 943, 322
401, 85, 41, 14

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

2 x 23 x 401 x 85 x 41 x 14 = 899980340

Therefore, the lowest common multiple of 802,170,943,644 is 899980340.

LCM Formula to Find Lowest Common Multiple of 802,170,943,644

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.

802 x 170 x 943 x 644 = 82798191280

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.

802 : 1, 2, 401, 802

170 : 1, 2, 5, 10, 17, 34, 85, 170

943 : 1, 23, 41, 943

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,170,943,644, is 1.

Now, the common factors can be found like this.

802:2x 401

170:2x 5x 17

943:23x 41

644:2x 2x 7x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 82798191280/(1x92)

LCM = 82798191280/92

LCM = 899980340

Thus, we can understand that the LCM of 802,170,943,644 is 899980340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 170, 943, 644

1. What is the LCM of 802, 170, 943, 644?

Answer: LCM of 802, 170, 943, 644 is 899980340.

2. How to calculate the LCM of 802, 170, 943, 644?

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 802, 170, 943, 644.

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}.