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LCM of 918, 973, 704, 748, 589

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


Find the LCM of 918, 973, 704, 748, 589 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 918, 973, 704, 748, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,973,704,748,589

Given numbers are 918,973,704,748,589

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

The LCM of 918,973,704,748,589 is 185188272192.

Find LCM of 918,973,704,748,589 with Prime Factorization


2 918, 973, 704, 748, 589
2 459, 973, 352, 374, 589
11 459, 973, 176, 187, 589
17 459, 973, 16, 17, 589
27, 973, 16, 1, 589

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

2 x 2 x 11 x 17 x 27 x 973 x 16 x 1 x 589 = 185188272192

Therefore, the lowest common multiple of 918,973,704,748,589 is 185188272192.

LCM Formula to Find Lowest Common Multiple of 918,973,704,748,589

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.

918 x 973 x 704 x 748 x 589 = 277041655199232

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

973 : 1, 7, 139, 973

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,973,704,748,589, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

973:7x 139

704:2x 2x 2x 2x 2x 2x 11

748:2x 2x 11x 17

589:19x 31

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 277041655199232/(1x1496)

LCM = 277041655199232/1496

LCM = 185188272192

Thus, we can understand that the LCM of 918,973,704,748,589 is 185188272192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 973, 704, 748, 589

1. What is the LCM of 918, 973, 704, 748, 589?

Answer: LCM of 918, 973, 704, 748, 589 is 185188272192.

2. How to calculate the LCM of 918, 973, 704, 748, 589?

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 918, 973, 704, 748, 589.

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}.