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LCM of 808, 744, 887, 527, 503

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


Find the LCM of 808, 744, 887, 527, 503 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 808, 744, 887, 527, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,744,887,527,503

Given numbers are 808,744,887,527,503

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

The LCM of 808,744,887,527,503 is 569947477128.

Find LCM of 808,744,887,527,503 with Prime Factorization


2 808, 744, 887, 527, 503
2 404, 372, 887, 527, 503
2 202, 186, 887, 527, 503
31 101, 93, 887, 527, 503
101, 3, 887, 17, 503

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

2 x 2 x 2 x 31 x 101 x 3 x 887 x 17 x 503 = 569947477128

Therefore, the lowest common multiple of 808,744,887,527,503 is 569947477128.

LCM Formula to Find Lowest Common Multiple of 808,744,887,527,503

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.

808 x 744 x 887 x 527 x 503 = 141346974327744

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

887 : 1, 887

527 : 1, 17, 31, 527

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,744,887,527,503, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

744:2x 2x 2x 3x 31

887:887

527:17x 31

503:503

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 2x 31 = 248

Therefore, the value for common factors is 248.

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 = 141346974327744/(1x248)

LCM = 141346974327744/248

LCM = 569947477128

Thus, we can understand that the LCM of 808,744,887,527,503 is 569947477128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 744, 887, 527, 503

1. What is the LCM of 808, 744, 887, 527, 503?

Answer: LCM of 808, 744, 887, 527, 503 is 569947477128.

2. How to calculate the LCM of 808, 744, 887, 527, 503?

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 808, 744, 887, 527, 503.

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}.