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LCM of 730, 222, 605, 759, 722

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


Find the LCM of 730, 222, 605, 759, 722 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 730, 222, 605, 759, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,222,605,759,722

Given numbers are 730,222,605,759,722

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

The LCM of 730,222,605,759,722 is 81407842890.

Find LCM of 730,222,605,759,722 with Prime Factorization


2 730, 222, 605, 759, 722
3 365, 111, 605, 759, 361
5 365, 37, 605, 253, 361
11 73, 37, 121, 253, 361
73, 37, 11, 23, 361

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

2 x 3 x 5 x 11 x 73 x 37 x 11 x 23 x 361 = 81407842890

Therefore, the lowest common multiple of 730,222,605,759,722 is 81407842890.

LCM Formula to Find Lowest Common Multiple of 730,222,605,759,722

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.

730 x 222 x 605 x 759 x 722 = 53729176307400

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

222 : 1, 2, 3, 6, 37, 74, 111, 222

605 : 1, 5, 11, 55, 121, 605

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

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,222,605,759,722, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

222:2x 3x 37

605:5x 11x 11

759:3x 11x 23

722:2x 19x 19

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 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 53729176307400/(1x660)

LCM = 53729176307400/660

LCM = 81407842890

Thus, we can understand that the LCM of 730,222,605,759,722 is 81407842890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 222, 605, 759, 722

1. What is the LCM of 730, 222, 605, 759, 722?

Answer: LCM of 730, 222, 605, 759, 722 is 81407842890.

2. How to calculate the LCM of 730, 222, 605, 759, 722?

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 730, 222, 605, 759, 722.

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}.