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LCM of 827, 476, 509, 545, 509

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


Find the LCM of 827, 476, 509, 545, 509 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 827, 476, 509, 545, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,476,509,545,509

Given numbers are 827,476,509,545,509

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

The LCM of 827,476,509,545,509 is 109201033060.

Find LCM of 827,476,509,545,509 with Prime Factorization


509 827, 476, 509, 545, 509
827, 476, 1, 545, 1

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

509 x 827 x 476 x 1 x 545 x 1 = 109201033060

Therefore, the lowest common multiple of 827,476,509,545,509 is 109201033060.

LCM Formula to Find Lowest Common Multiple of 827,476,509,545,509

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.

827 x 476 x 509 x 545 x 509 = 55583325827540

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.

827 : 1, 827

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

509 : 1, 509

545 : 1, 5, 109, 545

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,476,509,545,509, is 1.

Now, the common factors can be found like this.

827:827

476:2x 2x 7x 17

509:509

545:5x 109

509:509

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

509 = 509

Therefore, the value for common factors is 509.

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 = 55583325827540/(1x509)

LCM = 55583325827540/509

LCM = 109201033060

Thus, we can understand that the LCM of 827,476,509,545,509 is 109201033060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 476, 509, 545, 509

1. What is the LCM of 827, 476, 509, 545, 509?

Answer: LCM of 827, 476, 509, 545, 509 is 109201033060.

2. How to calculate the LCM of 827, 476, 509, 545, 509?

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 827, 476, 509, 545, 509.

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}.