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LCM of 1183, 9789

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


Find the LCM of 1183, 9789 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 1183, 9789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1183,9789

Given numbers are 1183,9789

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

The LCM of 1183,9789 is 890799.

Find LCM of 1183,9789 with Prime Factorization


13 1183, 9789
91, 753

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

13 x 91 x 753 = 890799

Therefore, the lowest common multiple of 1183,9789 is 890799.

LCM Formula to Find Lowest Common Multiple of 1183,9789

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.

1183 x 9789 = 11580387

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.

1183 : 1, 7, 13, 91, 169, 1183

9789 : 1, 3, 13, 39, 251, 753, 3263, 9789

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1183,9789, is 13.

Now, the common factors can be found like this.

1183:7x 13x 13

9789:3x 13x 251

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

= 1

Therefore, the value for common factors is 1.

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 = 11580387/(13x1)

LCM = 11580387/13

LCM = 890799

Thus, we can understand that the LCM of 1183,9789 is 890799.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1183, 9789

1. What is the LCM of 1183, 9789?

Answer: LCM of 1183, 9789 is 890799.

2. How to calculate the LCM of 1183, 9789?

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 1183, 9789.

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}.