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LCM of 484, 94, 869

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


Find the LCM of 484, 94, 869 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 484, 94, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,94,869

Given numbers are 484,94,869

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

The LCM of 484,94,869 is 1797092.

Find LCM of 484,94,869 with Prime Factorization


2 484, 94, 869
11 242, 47, 869
22, 47, 79

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

2 x 11 x 22 x 47 x 79 = 1797092

Therefore, the lowest common multiple of 484,94,869 is 1797092.

LCM Formula to Find Lowest Common Multiple of 484,94,869

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.

484 x 94 x 869 = 39536024

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

94 : 1, 2, 47, 94

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,94,869, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

94:2x 47

869:11x 79

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 39536024/(1x22)

LCM = 39536024/22

LCM = 1797092

Thus, we can understand that the LCM of 484,94,869 is 1797092.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 484, 94, 869

1. What is the LCM of 484, 94, 869?

Answer: LCM of 484, 94, 869 is 1797092.

2. How to calculate the LCM of 484, 94, 869?

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 484, 94, 869.

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}.