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LCM of 759, 205, 721, 117, 618

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


Find the LCM of 759, 205, 721, 117, 618 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 759, 205, 721, 117, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,205,721,117,618

Given numbers are 759,205,721,117,618

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

The LCM of 759,205,721,117,618 is 8750351610.

Find LCM of 759,205,721,117,618 with Prime Factorization


3 759, 205, 721, 117, 618
103 253, 205, 721, 39, 206
253, 205, 7, 39, 2

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

3 x 103 x 253 x 205 x 7 x 39 x 2 = 8750351610

Therefore, the lowest common multiple of 759,205,721,117,618 is 8750351610.

LCM Formula to Find Lowest Common Multiple of 759,205,721,117,618

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.

759 x 205 x 721 x 117 x 618 = 8111575942470

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.

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

205 : 1, 5, 41, 205

721 : 1, 7, 103, 721

117 : 1, 3, 9, 13, 39, 117

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,205,721,117,618, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

205:5x 41

721:7x 103

117:3x 3x 13

618:2x 3x 103

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

3x 3x 103 = 927

Therefore, the value for common factors is 927.

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 = 8111575942470/(1x927)

LCM = 8111575942470/927

LCM = 8750351610

Thus, we can understand that the LCM of 759,205,721,117,618 is 8750351610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 205, 721, 117, 618

1. What is the LCM of 759, 205, 721, 117, 618?

Answer: LCM of 759, 205, 721, 117, 618 is 8750351610.

2. How to calculate the LCM of 759, 205, 721, 117, 618?

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 759, 205, 721, 117, 618.

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}.