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LCM of 109, 844, 497, 803, 759

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


Find the LCM of 109, 844, 497, 803, 759 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 109, 844, 497, 803, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,844,497,803,759

Given numbers are 109,844,497,803,759

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

The LCM of 109,844,497,803,759 is 2533319518884.

Find LCM of 109,844,497,803,759 with Prime Factorization


11 109, 844, 497, 803, 759
109, 844, 497, 73, 69

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

11 x 109 x 844 x 497 x 73 x 69 = 2533319518884

Therefore, the lowest common multiple of 109,844,497,803,759 is 2533319518884.

LCM Formula to Find Lowest Common Multiple of 109,844,497,803,759

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.

109 x 844 x 497 x 803 x 759 = 27866514707724

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.

109 : 1, 109

844 : 1, 2, 4, 211, 422, 844

497 : 1, 7, 71, 497

803 : 1, 11, 73, 803

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,844,497,803,759, is 1.

Now, the common factors can be found like this.

109:109

844:2x 2x 211

497:7x 71

803:11x 73

759:3x 11x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 27866514707724/(1x11)

LCM = 27866514707724/11

LCM = 2533319518884

Thus, we can understand that the LCM of 109,844,497,803,759 is 2533319518884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 844, 497, 803, 759

1. What is the LCM of 109, 844, 497, 803, 759?

Answer: LCM of 109, 844, 497, 803, 759 is 2533319518884.

2. How to calculate the LCM of 109, 844, 497, 803, 759?

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 109, 844, 497, 803, 759.

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}.