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LCM of 802, 721, 414, 902

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


Find the LCM of 802, 721, 414, 902 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, 721, 414, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,721,414,902

Given numbers are 802,721,414,902

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

The LCM of 802,721,414,902 is 53982938394.

Find LCM of 802,721,414,902 with Prime Factorization


2 802, 721, 414, 902
401, 721, 207, 451

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

2 x 401 x 721 x 207 x 451 = 53982938394

Therefore, the lowest common multiple of 802,721,414,902 is 53982938394.

LCM Formula to Find Lowest Common Multiple of 802,721,414,902

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 721 x 414 x 902 = 215931753576

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

721 : 1, 7, 103, 721

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,721,414,902, is 1.

Now, the common factors can be found like this.

802:2x 401

721:7x 103

414:2x 3x 3x 23

902:2x 11x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 215931753576/(1x4)

LCM = 215931753576/4

LCM = 53982938394

Thus, we can understand that the LCM of 802,721,414,902 is 53982938394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 721, 414, 902

1. What is the LCM of 802, 721, 414, 902?

Answer: LCM of 802, 721, 414, 902 is 53982938394.

2. How to calculate the LCM of 802, 721, 414, 902?

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, 721, 414, 902.

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}.