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LCM of 802, 656, 943, 833

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


Find the LCM of 802, 656, 943, 833 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, 656, 943, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,656,943,833

Given numbers are 802,656,943,833

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

The LCM of 802,656,943,833 is 5039889904.

Find LCM of 802,656,943,833 with Prime Factorization


2 802, 656, 943, 833
41 401, 328, 943, 833
401, 8, 23, 833

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

2 x 41 x 401 x 8 x 23 x 833 = 5039889904

Therefore, the lowest common multiple of 802,656,943,833 is 5039889904.

LCM Formula to Find Lowest Common Multiple of 802,656,943,833

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 656 x 943 x 833 = 413270972128

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

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

943 : 1, 23, 41, 943

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,656,943,833, is 1.

Now, the common factors can be found like this.

802:2x 401

656:2x 2x 2x 2x 41

943:23x 41

833:7x 7x 17

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 413270972128/(1x82)

LCM = 413270972128/82

LCM = 5039889904

Thus, we can understand that the LCM of 802,656,943,833 is 5039889904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 656, 943, 833

1. What is the LCM of 802, 656, 943, 833?

Answer: LCM of 802, 656, 943, 833 is 5039889904.

2. How to calculate the LCM of 802, 656, 943, 833?

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, 656, 943, 833.

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}.