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LCM of 802, 403, 749, 802

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


Find the LCM of 802, 403, 749, 802 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, 403, 749, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,403,749,802

Given numbers are 802,403,749,802

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

The LCM of 802,403,749,802 is 242081294.

Find LCM of 802,403,749,802 with Prime Factorization


2 802, 403, 749, 802
401 401, 403, 749, 401
1, 403, 749, 1

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

2 x 401 x 1 x 403 x 749 x 1 = 242081294

Therefore, the lowest common multiple of 802,403,749,802 is 242081294.

LCM Formula to Find Lowest Common Multiple of 802,403,749,802

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 403 x 749 x 802 = 194149197788

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

403 : 1, 13, 31, 403

749 : 1, 7, 107, 749

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,403,749,802, is 1.

Now, the common factors can be found like this.

802:2x 401

403:13x 31

749:7x 107

802:2x 401

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

2x 401 = 802

Therefore, the value for common factors is 802.

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 = 194149197788/(1x802)

LCM = 194149197788/802

LCM = 242081294

Thus, we can understand that the LCM of 802,403,749,802 is 242081294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 403, 749, 802

1. What is the LCM of 802, 403, 749, 802?

Answer: LCM of 802, 403, 749, 802 is 242081294.

2. How to calculate the LCM of 802, 403, 749, 802?

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, 403, 749, 802.

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}.