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LCM of 625, 226, 802, 511

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


Find the LCM of 625, 226, 802, 511 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 625, 226, 802, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,226,802,511

Given numbers are 625,226,802,511

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

The LCM of 625,226,802,511 is 28943678750.

Find LCM of 625,226,802,511 with Prime Factorization


2 625, 226, 802, 511
625, 113, 401, 511

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

2 x 625 x 113 x 401 x 511 = 28943678750

Therefore, the lowest common multiple of 625,226,802,511 is 28943678750.

LCM Formula to Find Lowest Common Multiple of 625,226,802,511

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.

625 x 226 x 802 x 511 = 57887357500

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.

625 : 1, 5, 25, 125, 625

226 : 1, 2, 113, 226

802 : 1, 2, 401, 802

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,226,802,511, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

226:2x 113

802:2x 401

511:7x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 57887357500/(1x2)

LCM = 57887357500/2

LCM = 28943678750

Thus, we can understand that the LCM of 625,226,802,511 is 28943678750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 226, 802, 511

1. What is the LCM of 625, 226, 802, 511?

Answer: LCM of 625, 226, 802, 511 is 28943678750.

2. How to calculate the LCM of 625, 226, 802, 511?

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 625, 226, 802, 511.

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}.