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LCM of 802, 164, 707, 872

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


Find the LCM of 802, 164, 707, 872 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, 164, 707, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,164,707,872

Given numbers are 802,164,707,872

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

The LCM of 802,164,707,872 is 10135942264.

Find LCM of 802,164,707,872 with Prime Factorization


2 802, 164, 707, 872
2 401, 82, 707, 436
401, 41, 707, 218

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

2 x 2 x 401 x 41 x 707 x 218 = 10135942264

Therefore, the lowest common multiple of 802,164,707,872 is 10135942264.

LCM Formula to Find Lowest Common Multiple of 802,164,707,872

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 164 x 707 x 872 = 81087538112

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

164 : 1, 2, 4, 41, 82, 164

707 : 1, 7, 101, 707

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,164,707,872, is 1.

Now, the common factors can be found like this.

802:2x 401

164:2x 2x 41

707:7x 101

872:2x 2x 2x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 81087538112/(1x8)

LCM = 81087538112/8

LCM = 10135942264

Thus, we can understand that the LCM of 802,164,707,872 is 10135942264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 164, 707, 872

1. What is the LCM of 802, 164, 707, 872?

Answer: LCM of 802, 164, 707, 872 is 10135942264.

2. How to calculate the LCM of 802, 164, 707, 872?

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, 164, 707, 872.

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}.