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LCM of 1169, 8421

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


Find the LCM of 1169, 8421 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 1169, 8421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1169,8421

Given numbers are 1169,8421

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

The LCM of 1169,8421 is 1406307.

Find LCM of 1169,8421 with Prime Factorization


7 1169, 8421
167, 1203

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

7 x 167 x 1203 = 1406307

Therefore, the lowest common multiple of 1169,8421 is 1406307.

LCM Formula to Find Lowest Common Multiple of 1169,8421

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.

1169 x 8421 = 9844149

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.

1169 : 1, 7, 167, 1169

8421 : 1, 3, 7, 21, 401, 1203, 2807, 8421

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1169,8421, is 7.

Now, the common factors can be found like this.

1169:7x 167

8421:3x 7x 401

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 = 9844149/(7x1)

LCM = 9844149/7

LCM = 1406307

Thus, we can understand that the LCM of 1169,8421 is 1406307.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1169, 8421

1. What is the LCM of 1169, 8421?

Answer: LCM of 1169, 8421 is 1406307.

2. How to calculate the LCM of 1169, 8421?

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 1169, 8421.

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}.